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Question
In the given figure, ∠Q: ∠R = 1: 2. Find:
a. ∠Q
b. ∠R
Solution
∠Q : ∠R = 1 : 2
Let ∠Q = x°
⇒ ∠R = 2x°
Now, ∠RPX = ∠Q + ∠R ....[Exterior angle property]
⇒ 105° = x° + 2x°
⇒ 105° = 3x°
⇒ x = 35°
⇒ ∠Q = x° = 35° and ∠R = 2x° = 70°.
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