Question

Two consecutive angles of a parallelogram are (2x + 30)° and (3x + 60)°. Find all the angles of this parallelogram​

Answer 1

Answer:

66°,114°,64°,114°

2x+30+3x+60=180°( Co-Interior angles)

5x+90 = 180

5x = 90

x= 90/5= 18

so,2x + 30 = 2 x 18 + 30 = 66°

3x+60 = 3 x 18 + 60 = 114°

as the figure is a parallelogram opposite angles will be equal and 64° and 114° will be the third and fourth angles