Question

if an angle of a parallelogram is two-third of its adjacent angle find all angle of parallelogram​

Answer 1

Answer:

108°, 72°, 108°, 72°.

Explaination:

y = 2/3 x ....(given)

x+y = 180°.....(adjacent angles of parallelogram)

x + 2/3 x =180°

x + 2/3 x =180°3x+2x = 180°×3

x + 2/3 x =180°3x+2x = 180°×35x=540°

x + 2/3 x =180°3x+2x = 180°×35x=540° x=108°

x + 2/3 x =180°3x+2x = 180°×35x=540° x=108°y= 2/3 x

x + 2/3 x =180°3x+2x = 180°×35x=540° x=108°y= 2/3 xy= 2/3(108)

x + 2/3 x =180°3x+2x = 180°×35x=540° x=108°y= 2/3 xy= 2/3(108)y= 2(36)

x + 2/3 x =180°3x+2x = 180°×35x=540° x=108°y= 2/3 xy= 2/3(108)y= 2(36)y= 72°