Question

Two angles of a quadrilateral are 80 and 135°. The other two angles are equal. Find the other two angles.​

Answer 1

Answer:

Answer is 72.5°

Step-by-step explanation:

According to question two angles of quadrilateral is same

Other angles are 80° and 135° respectively

Then, x+x+80°+135°=360°

      ⇒2x+215°=360°

      ⇒2x=145°

      ⇒x=145°/2

      ⇒x=72.5°

Answer 2

Given :-

Two angles of a quadrilateral are 80° and 135°. The other two angles are equal. Find the other two angles.

Solution :-

It is given that the angle measure of two side of a Quadrilateral is, 80° and 135°.

Total Angle measure = 360°

The measure of other two sides of the quadrilateral are equal to each other.

Hence,

360° = x + x + 80° + 135°

360° = 2x + 80° + 135°

360° = 2x + 215°

2x = 360° - 215°

2x = 145°

x = 145/2

x = 72.5°

Thus, we can see that the measures of the four angles of the quadrilateral are; 80°, 135°, 72.5°, 72.5°.

Answered by - @MiѕѕGαямi