Measure of the supplementary angle of ∠A is 100° more than that of the complementary angle. What is the type of ∠A?
Explanation:
Let m∠A be x.
Measure of the supplementary angle of ∠A = (180° – x)
Measure of the complementary angle of ∠A = (90° – x)
According to the question,
Measure of the supplementary angle of ∠A = Measure of the complementary angle of ∠A + 100°
∴ (180° – x) = (90° – x) + 100°
∴ 180° – x = 190° − x
⇒ 180° = 190°
This is not possible.
Hence, option (d).
(Note: A complementary angle pair can be formed only by acute angles)
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.