Question

The measure of two adjacent angles of a quadrilateral are 80° and 100°. If remaining angles have equal measure then find the measures of equal angles.

Answer 1

In a quadrilateral sum of interior angles is 360
Let angles of quadrilateral be a, b, c, d
a=80
b=100
And given, c=d
a+b+c+d=360
80+100+c+d=360
180+c+c=360
180+2c=360
2c=360-180
2c=180
c=90=d