Question

05 If the adjacent angles of a parallelogram are ( 2 x + 7 ) and (3x-2). Find all the
four angles​

Answer 1

$\mathcal\red{77,~~103,~~77,~~103}$

$\mathrm\green{are~the~measures~of~the~angles}$

Answer 2

Answer:

77°, 103°, 77°, 103°

Step-by-step explanation:

Given

in parallelogram ABCD,

∠A=2x+7

∠B=3x-2

we know that

sum of adjacent angles in parallelogram = 180°

∠A+∠B=180°

2x+7+3x-2=180°

5x+5=180°

5(x+1)=180°

x+1=36°

x=35°

∠A=2x+7=2(35)+7=77°

∠B=3x-2=3(35)-2=103°

we know that

in parallelogram, opp sides are equal

∠C=∠A=77°

∠D=∠B=103°