Question

In the quadrilateral shown the two exterior angles are 100 degrees and 120degrees respect. If the other two angles are equal, what is the measure of each?

Answer 1

The interior angles are 180°-100°=80°

and 180°-120°=60°

Sum of angles of quadrilateral=360°

Let each equal angle be x.

60°+80°+x+x=360

2x=360°-140°

2x=220°

x=220°/2=110°

The answer is 110°,110°,60°,80°

Answer 2

Answer:

110 degrees

Step-by-step explanation:

The exterior angles are 100 degree and 120 degree

Therefore, the interior angles are 180-100 =80 and 180-120=60

The sum of angles of a quadrilateral =360

Let the equal angles be x

60 + 80 + x + x = 360

140 + 2x = 360

2x = 360- 140

2x = 220

x = 220 / 2

x = 110 [ Answer ]