Question

What is the measure of ZA?
What is the measure of ZB?

Answer 1

`m\angle A = 72\degree \\</p><p>m\angle B = 108\degree`

Explanation:

ABCD is a parallelogram.

Since, opposite angles of a parallelogram are congruent.

`\therefore m\angle A = m\angle C\\</p><p>\therefore (5y-3)\degree = (3y+27)\degree \\</p><p>\therefore 5y - 3= 3y +27\\</p><p>\therefore 5y-3y = 27+3\\</p><p>\therefore 2y = 30\\\\</p><p>\therefore y = (30)/(2) \\\\</p><p>\therefore y = 15\\</p><p>\because m\angle A = (5y-3)\degree \\</p><p>\therefore m\angle A = (5* 15-3)\degree \\</p><p>\therefore m\angle A = (75-3)\degree \\</p><p>\huge{\red {\boxed {\therefore m\angle A = 72\degree}}} \\\\</p><p>\because m\angle A + m\angle B = 180\degree(opposite \: \angle 's\: of\:a\: \parallel ^(gm)) \\</p><p>\therefore m\angle B = 180\degree - 72\degree \\</p><p>\huge{\purple {\boxed {\therefore m\angle B = 108\degree}}}`