Mathematics

Problem

Consider the two angles

(2x+10)^{\circ}

and

(80-2x)^{\circ}

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

x

. c. (c) If

x=20

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