Question

In a trapezium, two adjacent angles are 50° and 70°. Find the remaining two angles. ​

Answer 1

The remaining two angle are 130° and 110°

It is given that,

One angle is = 50°

And, the other angle is = 70°

To find : The remaining two angles

Let, angle A be 50° and angle B be 70°

And, let the remaining angles be angle D and angle C

If AB ll DC, then angle A + angle D = 180° and angle B + angle C = 180°

So,

Angle A + Angle D = 180°

50° + angle D = 180°

angle D = 180° - 50°

angle D = 130°

Now,

Angle B + Angle C = 180°

70° + Angle C = 180°

Angle C = 70° - 180°

Angle C = 110°