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Question
The measures of ∠x and ∠y in the following figure are respectively.
Options
30°, 60°
40°, 40°
70°, 70°
70°, 60°
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Solution
70°, 60°
Explanation:
As we know,
Measure of exterior angle = Sum of the opposite interior angles
⇒ ∠R = ∠P + ∠Q
⇒ 120° = x + 50° ...[∵ ∠R = 120°]
⇒ x = 120° – 50°
⇒ x = 70°
Now, the sum of the interior angles of a triangle is 180°
∴ x + y + 50° = 180°
⇒ 70° + y + 50° = 180°
⇒ 120° + y = 180°
⇒ y = 180° – 120°
⇒ y = 60°
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