Maths-

General

Easy

Question

# Ray OQ bisects ∠𝑃𝑂𝑅. Find the value of x.

Hint:

- The angle whose measure is 90o is called a right angle.
- Measure of straight angle is 180o.

## The correct answer is: 11

- Step by step explanation:
- Given:

𝑚∠POQ = (x - 4) °

𝑚∠QOR = (5x - 20) °.

- Step 1:
- From the figure it is clear that,

∠POR is right angle hence ∠POR = 90^{o}.

and

∠POR = ∠POQ + ∠QOR

- Step 2:
- Put values of ∠COD and ∠COP

∠POR = ∠POQ + ∠QOR

90 = (x - 4) + (5x - 20)

90 = 5x + x - (20 + 4)

90 = 6x - 24

6x = 90 - 24

6x = 66

x =

x = 11

- Final Answer:

Hence, the x is 11.

- Given:

^{o}.

and

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