Question

two angles of a quadrilateral are 116 degree and 84 degree the remaining two are equal. what is the measurement of the other angle.

Answer 1

let the other two angles be x
by angle sum property
116+84+x+x=360
200+2x=360
2(100+x)=360
100+x=360/2
100+x=180
x=180-100
x=80
so required angle is 80 degree

Answer 2

Given - Two angles of the quadrilateral

Find - Measurement of other angles

Solution - The measurement of the other two angles are 80°

Let the other two angles of the quadrilateral be x. As per the known fact, the sum of all the interior angles is 360°.

Representing this given information in mathematical expression -

116 + 84 + x + x = 360

Performing addition

2x + 200 = 360

2x = 360 - 200

Performing subtraction

2x = 160

Performing division

x = 160/2

x = 80°

So, the other two angles of a quadrilateral are 80°