Problem

(a) An angle measures

x^{\circ}

, where

0^{\circ}<x<180^{\circ}

. Answer the following questions with proper reasons. a. (i) Define complementary angles. b. (ii) An angle measures

112^{\circ}

. State, with reason, whether it possesses a complement. c. (iii) For an angle of

x^{\circ}

, write the condition on

x

so that its complement exists and explain why this condition is necessary.