Question

The measure of two adjacent angles of a
Quadrilateral are 110° and 50° and the other two
acute angles are equal. Find the measure of each angle.

PLEASE ANSWER WITH THE PROCEDURE\EXPLANATION

Answer 1

Let measure of each acute angle of the quadrilateral be x .

Measure of two adjacent angles of a quadrilateral are 110° and 50° .

Sum of the angles of quadrilateral is 360 degrees .

x + x + 110° + 50° = 360°     { Given that both the acute angles are equal }

2x + 160° = 360°

2x = 200°

∴ x = 100° .

Hence , the measure of each angle ix 100° .

You can verify the answer by adding all the angles , and if the sum comes out to be 360° then answer would be correct .

⇒ 100 + 100 + 110 + 50

⇒ 360°  

Hence , our answer is correct .

Answer 2

• I wish my answer is correct