Maths-
General
Easy

Question

x and y are complementary angles and y and z are
supplementary angles. Find the value of z if m∠x = 43° .

hintHint:

Use the property of complementary angles and supplementary angles.

The correct answer is: Hence the value of ∠z=133°.


    Complete step by step solution:
    When the sum of two angles is equal to 90° , then they are called complementary
    angles.
    When the sum of two angles is equal to 180° , then they are called supplimentary
    angles.
    Here,

                                             straight angle x plus straight angle y equals 90 to the power of ring operator horizontal ellipsis text  (i)  end text

                                            straight angle y plus straight angle z equals 180 to the power of ring operator...text  (ii)  end text
    On substituting the value of  straight angle x equals 43 to the power of ring operator text  in  end text in (i), we get

                                                 43 to the power of ring operator plus straight angle y equals 90 to the power of ring operator

                                               not stretchy rightwards double arrow straight angle y equals 90 to the power of ring operator minus 43 to the power of ring operator

                                               not stretchy rightwards double arrow straight angle y equals 47 to the power of ring operator
    On substituting the value of  straight angle y equals 47 to the power of ring operator in (ii), we get

                                              47 to the power of ring operator plus straight angle z equals 180 to the power of ring operator

                                               not stretchy rightwards double arrow straight angle z equals 180 to the power of ring operator minus 47 to the power of ring operator

                                                not stretchy rightwards double arrow straight angle z equals 133 to the power of ring operator

                                    Hence the value of .straight angle z equals 133 to the power of ring operator

    Related Questions to study

    General
    Maths-

    The weight of the water exerts pressure on a diver. At a depth of 10 feet, the water pressure is 19.1 pounds per square inch and at a depth of 14 feet, the water pressure is 20.9 psi.
    Complete the statements and sketch the qualitative graph of this function.
    The input or X- Variable is ……………..
    The output or Y- Variable is………….

    The weight of the water exerts pressure on a diver. At a depth of 10 feet, the water pressure is 19.1 pounds per square inch and at a depth of 14 feet, the water pressure is 20.9 psi.
    Complete the statements and sketch the qualitative graph of this function.
    The input or X- Variable is ……………..
    The output or Y- Variable is………….

    Maths-General
    General
    Maths-

    Solve the system of equations by elimination :
    10X + 6Y = 38
    10X + 20Y = 100

    Solve the system of equations by elimination :
    10X + 6Y = 38
    10X + 20Y = 100

    Maths-General
    General
    Maths-

    Use Substitution to solve each system of equations :
    2X - 3Y = 6
    Y = 2 over 3X - 2

    Use Substitution to solve each system of equations :
    2X - 3Y = 6
    Y = 2 over 3X - 2

    Maths-General
    parallel
    General
    Maths-

    Use Substitution to solve each system of equations :
    4X + 8Y = -8
    X = -2Y + 1

    Use Substitution to solve each system of equations :
    4X + 8Y = -8
    X = -2Y + 1

    Maths-General
    General
    Maths-

    Solve the system of equations by elimination :
    5X + 3Y = 19
    2X + 4Y = 20

    Solve the system of equations by elimination :
    5X + 3Y = 19
    2X + 4Y = 20

    Maths-General
    General
    Maths-

    Solve the following by using the method of substitution
    Y= 5-2X
    Y=fraction numerator 3 X over denominator 2 end fraction minus 2

    Solve the following by using the method of substitution
    Y= 5-2X
    Y=fraction numerator 3 X over denominator 2 end fraction minus 2

    Maths-General
    parallel
    General
    Maths-

    Use Substitution to solve each system of equations :
    X + 2Y = -10
    Y = -0.5X + 2

    Use Substitution to solve each system of equations :
    X + 2Y = -10
    Y = -0.5X + 2

    Maths-General
    General
    Maths-

    What will be the coordinates of the midpoint of the segment joining P (8, 0) and Q (10,8)?

    What will be the coordinates of the midpoint of the segment joining P (8, 0) and Q (10,8)?

    Maths-General
    General
    Maths-

    A Scuba diver starts a dive with a full tank of oxygen. While diving, She breathes at a constant rate. She checks the gauge after 22 minutes. What does a graph of the function look like ?

    A Scuba diver starts a dive with a full tank of oxygen. While diving, She breathes at a constant rate. She checks the gauge after 22 minutes. What does a graph of the function look like ?

    Maths-General
    parallel
    General
    Maths-

    Which of the given pair of angles is complementary?

    Which of the given pair of angles is complementary?

    Maths-General
    General
    Maths-

    Find the midpoint of the segment joining points A (-8, -5) and B (6, 9).

    Find the midpoint of the segment joining points A (-8, -5) and B (6, 9).

    Maths-General
    General
    Maths-

    Solve the system of equations by elimination :
    4Y + 2X = - 7
    4Y - 12X = 16

    Solve the system of equations by elimination :
    4Y + 2X = - 7
    4Y - 12X = 16

    Maths-General
    parallel
    General
    Maths-

    Use Substitution to solve each system of equations :
    X = 3Y - 4
    2X - 3Y = -2

    Use Substitution to solve each system of equations :
    X = 3Y - 4
    2X - 3Y = -2

    Maths-General
    General
    Maths-

    Identify the segment bisector of 𝑃𝑅 and find 𝑃𝑄.

    Identify the segment bisector of 𝑃𝑅 and find 𝑃𝑄.

    Maths-General
    General
    Maths-

    Solve the following by using the method of substitution
    Y= 8X-5
    Y=fraction numerator 5 X plus 13 over denominator 6 end fraction

    Solve the following by using the method of substitution
    Y= 8X-5
    Y=fraction numerator 5 X plus 13 over denominator 6 end fraction

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.