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Maths-

General

Easy

Question

Find the value of x.

hint Hint:

The angle made by a straight line is called a straight angle.

Measure of straight angle is 180o.

The correct answer is: 17

Step by step explanation:

Given : 𝑚∠POQ = (3x + 10)° 𝑚∠QOR = 2x°

𝑚∠ROS = 5x°.

Step 1 : From the figure it is clear that,

∠POS is straight angle hence ∠POS = 180^o.
and
∠POS = ∠POQ + ∠QOR + ∠ROS

Step 2 : Put values of ∠POQ, ∠QOR and ∠ROS

∠POS = ∠POQ + ∠QOR + ∠ROS
180 = (3x + 10) + 2x + 5x
180 = 3x + 2x + 5x + 10
180 = 10x + 10
10x = 180 - 10
10x = 170
x = $170 over 10$
x = 17

Final Answer:

Hence, the value of x is 17.

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