Maths-
General
Easy
Question
Ray OQ bisects ∠𝑃𝑂𝑅. Find the value of x.
Hint:
- The angle whose measure is 90o is called a right angle.
- Measure of straight angle is 180o.
The correct answer is: 11
- Step by step explanation:
- Given:
𝑚∠POQ = (x - 4) °
𝑚∠QOR = (5x - 20) °.
- Step 1:
- From the figure it is clear that,
∠POR is right angle hence ∠POR = 90o.
and
∠POR = ∠POQ + ∠QOR
- Step 2:
- Put values of ∠COD and ∠COP
∠POR = ∠POQ + ∠QOR
90 = (x - 4) + (5x - 20)
90 = 5x + x - (20 + 4)
90 = 6x - 24
6x = 90 - 24
6x = 66
x = 
x = 11
- Final Answer:
Hence, the x is 11.
- Given:
and
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