Question

An angle of a parallelogram is 40° more than its adjacent angle. Find the measures of all its angles.

Answer 1

Let one angle =X+40
Let the another angle =X

In llgm opposite angle are equal

Angle sum property of a llgm =360

X+40+X+40+X+X=360
4X+80=360
4X=360-80
X=280/4
X=70

Angles are 70°,70°,110°,110°

Answer 2

Given - Angle's relation with other angles

Find - Measure of all angles

Solution - Let one angle of parallelogram be x. So, the two adjacent angles will be (x + 40). The remaining angle will be x.

Sum of the interior angles of parallelogram is 360°.

x + x + 40 + x + x + 40 = 360

Performing addition

4x + 80 = 360

4x = 360 - 80

Performing substraction

4x = 280

x = 280/4

Performing division

x = 70

The measure of two angles = 70°

Measure of other two angles = x + 40

Measure of other two angles = 70 + 40

Measure of other two angles = 110°

Hence, the four angles of parallelogram are 70°, 70°, 110° and 11p0°.