Question

Two angles of a quadrilateral measure 40° and 180°. The other two angles are in a ratio of 13:15. What are the measures of those two angles?

Answer 1

Step-by-step explanation:

Two angles are given

1st angle = 40° 2nd angle = 180°

And let other two angels be 13 x and 15x

40° + 180° + 13x + 15x = 360° <Being sum of angles of quadrilateral >

220° + 28x = 360°

28x = 360° - 220°

28x = 140°

x = 140° / 28

Therefore x = 5°

Measures of two angles

13x = 13 * 5° = 65°

15x = 15 * 5° = 75°