Maths-

General

Easy

Question

# Find the value of x if 𝑚∠𝑃𝑂𝑅 = 30°

Hint:

- 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 =

x = 5

- Final Answer:

Hence, the value of x is 5.

- Given:

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