Question

5. The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each
of the angles of the parallelogram.​

Answer 1

let the 2 angles be 3x and 2x

then

=> 3x + 2x = 180

=> 5x = 180

=> x = 36

therefore the angles are 72° and 108°

Answer 2

Step-by-step explanation:

In a parallelogram opposite angles are equal

so, let angle 1 = 3x and angle 2 = 2x

so therefore angle 3 and 4 will be 3x and 2x

angle sum property of parallelogram = 360°

angle1 + angle2 + angle3 + angle4 = 360°

2(angle 1 + angle 2) = 360°

[ since angle1= angle3 and angle2=angle4]

2(3x+2x) = 360°

2(5x) = 360°

10x = 360°

x = 360°/10

x = 36°

angle 1 = 3x = 3(36)

= 108°

angle 2 = 2x = 2(36)

= 72°