Question

Two angles of a quadrilateral are 65° and 108° if the other two angles are equal find the measure of each of the equal angles

Answer 1

Given :

• 65° and 108°  

To find :

• find the measure of each of the equal angles

Solution :

• The Total measure of angles in a Quadrilateral is equal to 360 degrees.

✳ Let’s write the equation for the following question.  

✳ Adding the variables and, adding the other two angles.

✳ Now, subtracting 360 with the measure of other two angles.

✳ At last, dividing them by 2.

The Total measure of a Quadrilateral = 65° + 108° + x + x

360° = 173° + (x + x)  

360° = 173° + 2x

2x = 360° - 173°

2x = 187

x = 187/2

= 93.5

Therefore, the measure of each equal angles are 93.5°.