Mathematics

Problem

Two adjacent angles form a linear pair. Their measures are

(5y-7)^{\circ}

and

(3y+17)^{\circ}

. a. (a) Find the value of

y

. b. (b) Calculate the measure of each angle. c. (c) Verify algebraically that the two angles are supplementary for the value of

y

obtained in part (a). d. (d) If

y

is increased by

4

, write the new measures of the angles and state, with reasons, whether the pair remains supplementary.