The measure of angle 2 is 117°.
Supplementary Angles:
If the sum of two angles is 180°, then both the angles are said to be supplementary angles. i.e. ∠1 + ∠2 = 180°.
How to solve the given question?
- As two angles are supplementary,
∴ ∠1 + ∠2 = 180°
∴ 63° + ∠2 = 180°
∴ ∠2 = 180° - 63°
∴ ∠2 = 117°
Thus, the measure of angle 2 is 117°. Hence, option (c) is the correct answer
Why other options are incorrect?
As the other options do not satisfy the condition to be supplementary i.e ∠1 + ∠2 = 180° ⇒ 63° + ∠2 = 180°, hence are incorrect options.
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