Question

A quadrilateral has two angles that measure 150° and 30°. The other two angles are in a

ratio of 7:11. What are the measures of those two angles?
and
Submit
Vide

Answer 1

70° and 110°

Explanation:

the ratio of the two angles = 7 : 11 = 7x : 11x ( x is a multiplier )

the sum of the 4 angles in a quadrilateral = 360°

sum the 4 angles and equate to 360

150 + 30 + 7x + 11x = 360

180 + 18x = 360 ( subtract 180 from both sides )

18x = 180 ( divide both sides by 18 )

x = 10

Then

7x = 7 × 10 = 70

11x = 11 × 10 = 110

the measures of the other 2 angles is 70° and 110°