Question

In a parallelogram ABCD, angle A = (4x-10)° and angle C=(3x+5)°. Find the measure of angle A and angle B.

Answer 1

Step-by-step explanation:

Being the opposite sides, A & C are equal.

So,

(4x-5) = (3x+10)

=> 4x-3x = 10+5

=> x = 15

So the angle is 4x - 5 = 4×15 - 5 = 60-5=55°

So, B & D are also equal.

Their values are:-

(180°-55°)=125°

Answer 2

in parallelogram adjacent angle are supplementary

Angle A + Angle B =180°

4x-5+3x+10=180°

7x+5=180°

7x=175°

x=175/7

x=25°

Angle A =95°

Angle B =85°

opposite angle of parallelogram are equal

angle C = Angle A =95°

Angle B = angle D =85