Question

the measure of two adjacent angles of a quadrilateral are 130 degree and 30 degree and the other angles are equal . find the measure of each of the equal angles

Answer 1

Answer:

100°

Step-by-step explanation:

Let the equal angles be x°

According to the angle sum property,

sum of all the angles of a quadrilateral = 360°

= 130° + 30° + x + x

160° + 2x = 360°

2x = 360° - 160°

2x = 200°

x = 100°

Answer 2

1 angle = 130°

2 angle = 30°

Total = 160°

Total measure of angels if a quadrilateral = 360°

360° - 160° = 200° ( remaning measure)

Since, other 2 angels are equal, me aayee if each of them = 200/2 = 100°