Maths-

General

Easy

Question

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

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 correct answer is: 15

- Step by step explanation:
- Given:

𝑚∠COD = (x + 30) °

𝑚∠COP = 3x°

- Step 1:
- As we know angle bisectors bisects the angle in two equal parts.

Hence,

𝑚∠COD = 𝑚∠COP

x + 30 = 3x

30 = 3x - x

30 = 2x

x =

x = 15

- Final Answer:

Hence, the value of x should be 15 for which the ray OC will be the angle bisector.

- Given:

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