m∠P is 30° more than the measure of its supplementary angle. Which of the following is the measure of ∠P?
Explanation:
Let m ∠P be x°.
∴ Measure of the supplementary angle of ∠P = x − 30°
The sum of these two angles should be 180°.
∴ x + (x − 30°) = 180°
∴ x = 105°
Hence, option (b).
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