Question

Two angles of a quadrilateral measure 125° and 35°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?

Answer 1

120° and 80°

Explanation:

quadrilateral = 360°

125° + 35° = 160°

360° - 160° = 200°

3/5 of 200° = 120°

200° - 120° = 80°

Answer 2

Explanation:

Finding the missing angles of quadrilateral:

Ratio of other two angles = 3 : 5

Other two angles are 3x , 5x

Sum of all angles of quadrilateral = 360

125 + 35 + 3x + 5x = 360

Combine like terms

160 + 8x = 360

Subtract 160 from both sides

8x = 360 - 160

8x = 200

Divide both sides by 8 to isolate x

x = 200/8

x = 25

5x = 5*25 = 125

3x = 3*25 = 75

The other two angles are 125° , 75°