Question

the measures of two angles of a quadrilateral are 115 degree and 45 degree and the other two angles are equal. find the measure of each of the equal angles ​

Answer 1

Hello Dear!!!

Here's your answer...

Given that,

Angles are 115 and 45

And remaining two angles are equal..

Let's assume those angles as 'x'

We know that,

Sum of all angles in a quadrilateral is 360°

115+45+x+x = 360

160 + 2x = 360

2x = 360-160

2x = 200

x = 200/2

x = 100

Remaining two angles are 100,100

______________________

Hope this helps you.....

Answer 2

Let the other two angles be x and x respectively

Hence by angle sum property

x + x + 45 + 115 = 360

2x + 160 = 360

2x = 360 – 160

2x = 200

x = 100

Ans : Measure of each of the equal angle is 100°