Question

The measure of two adjacent angle of parallelogram in the ratio 3:2find the measure of each angle of parallelogram

Answer 1

ANSWER:

Let the common ratio be x

So,One angle=3x and, another angle=2x

As the angles are adjacent,

• 3x+2x=180
• or,5x =180°
• or,x =36

So,one angle=(3×36)°

= 108°

another angle=(2×36)°

=72°

The opposite angles in a parallelogram are equal.So,two angles will be 180° and other two will be 72°.(ANSWER)