Question

If the adjacent angles of parallelogram are (2x +7)° and (3x-2)°,find all the four angles.

Answer 1

for a parallelogram = two adjacent angles =180
(2x+7)+3x-2=180
5x+5=180
5x=175
x=35
the angles are = 77,103 ,77,103

Answer 2

Heya !!



The sum of two adjacent Angles of a parallelogram = 180


2x + 7 + 3x - 2 = 180



5x + 5 = 180


5x = 180 - 5


5x = 175


x = 175/5


x = 35°


Angles are ( 2x + 7)° and ( 3x - 2)° = (2×35+7)° and ( 3 × 35 - 2 ) = 77° and 103°.


Hence,


all angles are 77° , 103° , 103° and 77°.