Maths-
General
Easy

Question

Find the value of x if 𝑚∠𝑃𝑂𝑅 = 30°

hintHint:

  • Angle is formed when two lines intersect at a point.
  • The measure of the 'opening' between these two rays is called an 'angle'.
  •  It is represented by the symbol ∠. 
  • Angles are usually measured in degrees and radians.

The correct answer is: 5


    • Step by step explanation: 
      • Given:
                             𝑚∠POR = 30°.
                             𝑚∠POQ = (5x + 2)°  𝑚∠QOR = (2x - 7)°
    • Step 1:
    • From the figure it is clear that,
                             POR = POQ + QOR
    • Step 2:
    • Put values of ∠POQ and ∠QOR
     ∠POR = ∠POQ + ∠QOR

     30 = (5x + 2) + (2x - 7)

     30 = 7x - 5

     7x = 30 + 5

     7x = 35

     x = 35 over 7

     x = 5

    • Final Answer:
    Hence, the value of x is 5.

    Related Questions to study

    General
    Maths-

    Solve the following by using the method of substitution
    X = 3Y - 5
    3Y + 5X = 11

    Solve the following by using the method of substitution
    X = 3Y - 5
    3Y + 5X = 11

    Maths-General
    General
    Maths-

    X - 3Y = - 4
    2X - 6Y= 6

    X - 3Y = - 4
    2X - 6Y= 6

    Maths-General
    General
    Maths-

    Find the odd one out.

    Find the odd one out.

    Maths-General
    parallel
    General
    Maths-

    A Car moving at a constant speed passes a timing device at t = 0 . After 8 seconds , the car has travelled 840 feet. What linear function in the form Y = mx + b represents the distance in feet d , the car has travelled any number of seconds , t , after passing the timing device?

    A Car moving at a constant speed passes a timing device at t = 0 . After 8 seconds , the car has travelled 840 feet. What linear function in the form Y = mx + b represents the distance in feet d , the car has travelled any number of seconds , t , after passing the timing device?

    Maths-General
    General
    Maths-

    Which statement is true by angle addition postulate?
    a. 𝑚∠𝐴𝑂𝐵 + 𝑚∠𝐶𝑂𝐷 = 𝑚∠𝐴𝑂𝐷
    b. 𝑚∠𝐴𝑂𝐵 + 𝑚∠𝐵𝑂𝑃 = 𝑚∠𝐴𝑂𝑃
    c. 𝑚∠𝐵𝑂𝑃 + 𝑚∠𝐶𝑂𝐷 = 𝑚∠𝐵𝑂𝐷

    Which statement is true by angle addition postulate?
    a. 𝑚∠𝐴𝑂𝐵 + 𝑚∠𝐶𝑂𝐷 = 𝑚∠𝐴𝑂𝐷
    b. 𝑚∠𝐴𝑂𝐵 + 𝑚∠𝐵𝑂𝑃 = 𝑚∠𝐴𝑂𝑃
    c. 𝑚∠𝐵𝑂𝑃 + 𝑚∠𝐶𝑂𝐷 = 𝑚∠𝐵𝑂𝐷

    Maths-General
    General
    Maths-

    What is a linear function in the form y = mx + b for the line passing through (4.5 , - 4.25) with y – intercept  2.5?

    What is a linear function in the form y = mx + b for the line passing through (4.5 , - 4.25) with y – intercept  2.5?

    Maths-General
    parallel
    General
    Maths-

    Compare ∠𝑅𝑂𝑄 and ∠𝑃𝑂𝑄

    Compare ∠𝑅𝑂𝑄 and ∠𝑃𝑂𝑄

    Maths-General
    General
    Maths-

    Fun- time Amusement park charges straight $ 12.50 for admission and then straight $ 0.75 per ride. Rivers edge park charges straight $ 18.50 for admission and then straight $ 0.50 per ride. For What number of rides is the cost the same at both parks?

    Fun- time Amusement park charges straight $ 12.50 for admission and then straight $ 0.75 per ride. Rivers edge park charges straight $ 18.50 for admission and then straight $ 0.50 per ride. For What number of rides is the cost the same at both parks?

    Maths-General
    General
    Maths-

    Identify the pair of congruent angles formed by the bannister
    lines.

    Identify the pair of congruent angles formed by the bannister
    lines.

    Maths-General
    parallel
    General
    Maths-

    A Line passes through the points (4,19) and (9,24). Write a linear function in the form y = mx + b for this line.

    A Line passes through the points (4,19) and (9,24). Write a linear function in the form y = mx + b for this line.