Consider the two angles and .

MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Consider the two angles

(2x+10)^{\circ}

and

(80-2x)^{\circ}

. (a) Define complementary angles. (b) Prove that the given two angles are complementary for every real value of

x

. (c) If

x=20

, calculate the measure of each angle and state whether each is acute, right or obtuse, giving reasons.