Maths-
General
Easy
Question
Find the value of x.
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 = 180o.
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 = 
x = 17
- Final Answer:
Hence, the value of x is 17.
- Given : 𝑚∠POQ = (3x + 10)° 𝑚∠QOR = 2x°
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