Maths-
General
Easy

Question

Find the possible values of x for which the angle (2𝑥 − 10) ° will be an acute angle.

hintHint:

  • Angles whose measure is more than 0 but less than 90 are called ‘acute angles’.
  • Angles whose measure is more than 90 but less than 180 are called ‘obtuse angles’.
  • Angles whose measure 90 are called ‘right angles’.

The correct answer is: 50


    • Step-by-step explanation: 
      • Step 1:
    As we know, angles whose measure less than 90o are acute angles.
    ∴ for (2x - 10)o to acute angle

    0 < 2x - 10 < 90

    0 + 10 < 2x < 90 + 10

    10 < 2x < 100

    10 over 2< x < 100 over 2

    5 < x < 50

    • Final Answer: 
    Hence, for all numbers more than 5 and less than 50 (2x -10) will be acute angles.

    Related Questions to study

    General
    Maths-

    Solve the following by using the method of substitution
    Y= 5X-1
    Y=fraction numerator 11 minus 3 X over denominator 2 end fraction

    Solve the following by using the method of substitution
    Y= 5X-1
    Y=fraction numerator 11 minus 3 X over denominator 2 end fraction

    Maths-General
    General
    Maths-

    Find the value of x for which the ray OC will be an angle bisector of ∠𝑃𝑂𝐷.

    Find the value of x for which the ray OC will be an angle bisector of ∠𝑃𝑂𝐷.

    Maths-General
    General
    Maths-

    A Store cells packages of comic books with a poster.
    a) Write a linear function in the form y= mx + b that represents the cost , y, of a package containing any number of comic books ,x.
    b) Suppose another store sells a similar package , modelled by a linear function with initial value $ 7.99 . Which store has the better deal? Explain.

    A Store cells packages of comic books with a poster.
    a) Write a linear function in the form y= mx + b that represents the cost , y, of a package containing any number of comic books ,x.
    b) Suppose another store sells a similar package , modelled by a linear function with initial value $ 7.99 . Which store has the better deal? Explain.

    Maths-General
    parallel
    General
    Maths-

    Ray OP bisects a straight angle ∠𝐴𝑂𝐵. Find 𝑚∠𝐴𝑂𝑃.

    Ray OP bisects a straight angle ∠𝐴𝑂𝐵. Find 𝑚∠𝐴𝑂𝑃.

    Maths-General
    General
    Maths-

    Solve the following by substitution method :
    X-2Y= -4
    5X-3Y=1

    Solve the following by substitution method :
    X-2Y= -4
    5X-3Y=1

    Maths-General
    General
    Maths-

    Ray OQ bisects ∠𝑃𝑂𝑅. Find 𝑚∠𝑃𝑂𝑄 if 𝑚∠𝑃𝑂𝑅 = 42°.

    Ray OQ bisects ∠𝑃𝑂𝑅. Find 𝑚∠𝑃𝑂𝑄 if 𝑚∠𝑃𝑂𝑅 = 42°.

    Maths-General
    parallel
    General
    Maths-

    Ray OQ bisects ∠𝑃𝑂𝑅. Find 𝑚∠𝑃𝑂𝑅 if 𝑚∠𝑃𝑂𝑄 = 24°.

    Ray OQ bisects ∠𝑃𝑂𝑅. Find 𝑚∠𝑃𝑂𝑅 if 𝑚∠𝑃𝑂𝑄 = 24°.

    Maths-General
    General
    Maths-

    Find: a) QR
    b) 𝑚∠𝑃𝑄𝑇