Maths-

General

Easy

Question

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

Hint:

- Angle bisector bisects the angle in two equal parts.
- If the measure of angle is 2xo then the angle bisector will bisect it in two parts measuring xo each.
- The angle made by a straight line is called a straight angle.
- Measure of straight angle is 180o.

## The correct answer is: 90 digres

- Step by step explanation:
- Given:

Ray OP bisects ∠AOB

∠AOB is straight angle

𝑚∠AOB = 180°

- Step 1:
- Let 𝑚∠AOB = x
^{o}
- As we know angle bisectors bisects the angle in two equal parts.

Hence,

Ray OP bisect ∠AOB is two parts

and each.

Hence,

m∠𝐴𝑂𝑃 =

m ∠AOP =

m ∠AOP = 90^{o}

∴ m ∠AOP = 90^{o}.

- Final Answer:

Hence, 𝑚∠AOP is 90^{o}.

- Given:

^{o}^{o}

^{o}.

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