Question

Two angles of a quadrilateral are 75° and 115°.The other two angles are equal.Find the measure of each equal angle.

Answer 1

sum of all four angles of a quadrilateral is 360°

let us take the other two angles as x

75+115+x+x = 360°

now bring all the terms except x from the left to right

x+x=360-75-115

2x= 360-190

2x=170

x =170/2= 85

the other two angles are 85° each