Maths-
General
Easy

Question

If lines l and m are parallel, find the value of x.

The correct answer is: Hence the value of x=32°


    SOLUTION:
    HINT: Use the property of parallel lines angle rules.
    Complete step by step solution:
    Here we have 2 parallel lines m and land a transversal intersecting these parallel
    lines.
    Here,  left parenthesis 5 x minus 15 right parenthesis to the power of ring operator text  and  end text 35 to the power of ring operator forms co-interior angles and they add up to 180 to the power of ring operator
    left parenthesis 5 x minus 15 right parenthesis to the power of ring operator plus 35 to the power of ring operator equals 180 to the power of ring operator(co-interior angles)
    not stretchy rightwards double arrow 5 x plus 20 to the power of ring operator equals 180 to the power of ring operator
    not stretchy rightwards double arrow 5 x equals 180 to the power of ring operator minus 20 to the power of ring operator
    not stretchy rightwards double arrow 5 x equals 160 to the power of ring operator
    not stretchy rightwards double arrow x equals 32 to the power of ring operator
    Hence the value of x equals 32 to the power of ring operator

    Related Questions to study

    General
    Maths-


    Prove that: PR = PQ + QR
    Give a two-column proof


    Prove that: PR = PQ + QR
    Give a two-column proof

    Maths-General
    General
    Maths-

    Find x and hence find 𝑚∠𝐶𝑂𝐷

    Find x and hence find 𝑚∠𝐶𝑂𝐷

    Maths-General
    General
    Maths-

    Solve the system of equations by elimination :
    X - Y = 4
    2X + Y = 5

    Solve the system of equations by elimination :
    X - Y = 4
    2X + Y = 5

    Maths-General
    parallel
    General
    Maths-

    Use Substitution to solve each system of equations :
    X = -Y + 3
    3X - 2Y = -1

    Use Substitution to solve each system of equations :
    X = -Y + 3
    3X - 2Y = -1

    Maths-General
    General
    Maths-

    Express all the angles in terms of x.


     

    Express all the angles in terms of x.


     

    Maths-General
    General
    Maths-

    Solve the following by using the method of substitution
    X = 4Y+1
    2Y - 3X =  - 23

    Solve the following by using the method of substitution
    X = 4Y+1
    2Y - 3X =  - 23

    Maths-General
    parallel
    General
    Maths-

    An online clothing company cells custom sweatshirts . The company charges $ 6.50 for each sweatshirt and a flat fee of $3.99 for shipping.
    a) Write a linear function in the form y= mx + b that represents the total cost ,y in dollars , for a single order of x sweatshirts.
    b) Describe how the linear function would change if the shipping charge applied to each sweatshirt.

    An online clothing company cells custom sweatshirts . The company charges $ 6.50 for each sweatshirt and a flat fee of $3.99 for shipping.
    a) Write a linear function in the form y= mx + b that represents the total cost ,y in dollars , for a single order of x sweatshirts.
    b) Describe how the linear function would change if the shipping charge applied to each sweatshirt.

    Maths-General
    General
    Maths-

    Find the value of x.

    Find the value of x.

    Maths-General
    General
    Maths-

    Find the value of x.

    Find the value of x.

    Maths-General
    parallel
    General
    Maths-

    The graph of the line represents the cost of renting a kayak. Write a linear function in the from y= mx + b represents the relationship of the total Cost ,c, of renting a kayak for t hours?

    The graph of the line represents the cost of renting a kayak. Write a linear function in the from y= mx + b represents the relationship of the total Cost ,c, of renting a kayak for t hours?