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Maths-

General

Easy

Question

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

hint 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
$x over 2$ and $x over 2$ each.
Hence,
m∠𝐴𝑂𝑃 = $x over 2$
m ∠AOP = $180 over 2$
m ∠AOP = 90^o
∴ m ∠AOP = 90^o.

Final Answer:

Hence, 𝑚∠AOP is 90^o.

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