Question

The two opposite angles of a parallelogram are ( 3 y -10) and (2y+5) find the measure of all four angles of a parallelogram ​

Answer 1

Answer:

Let the angles be A B C D

opposite angles of parallelogram are equal ,

so, A= C

3y-10 = 2y+5

3y-2y = 5+10

y =15

A = 3y-10 = 45-10 =35°

C = 35°

B + A = 180°( adjacent angles of parallelogram are equal)

B = 180°-35°

B = 145°

B =D (opposite angles of parallelogram are equal)

D = 145°

Answer 2

Explanation:

opposite angle of a parallelogram are equal so,

3y-10=2y+5

3y-2y=5+10

y=15

3y-10

3×15-10

45-10

35

measure of two angle is 35.

Let other pair of opposite angle be y

2y+35+35=360

2y=360-70

y=290/2

y=145

Measure of all four angles of parallelogram is

35,35,145,145.

Hope it helps uu.