Mathematics

Problem

The measures of two angles are

(3x-5)^{\circ}

and

(x+35)^{\circ}

. a. (a) Find the value of

x

for which the two angles are complementary. b. (b) Using the value of

x

obtained in part (a), determine the measure of each angle and classify every angle as acute, right or obtuse. c. (c) If

x=60

, decide whether the same two angle expressions form a complementary pair, a supplementary pair, or neither. Justify your answer.