Question

four angles in a quadrilateral in x+10°2x+30°2x+10°3x+10°find all the angles

Answer 1

Hey friend, Here is your answer-

Sum of measures of angles of quadrilateral is 360°
So , x + 10° + 2x + 30° + 2x + 10° + 3x + 10° = 360°

8x + 80° = 360°
8x = 360 - 80
8x = 280°
x = 280° / 8
x = 35°

Therefore the angles of quadrilateral are -
x + 10° = 35 + 10 = 40°

2x + 30° = 1×35 + 30 = 65°

2x + 10° = 2×35 + 10° = 80°

3x + 10° = 3×35 + 10° = 115°

Hope it will help you friend.