Question

What is the greatest angle measure in the diagram?

O 95⁰
O 105⁰
O 119⁰
O 180°

Answer 1

119°

Explanation:

angles in a quadrilateral add up to 360°

(15x - 10) + (15x + 14) + (11x + 10) + (9x - 4)

= 50x + 10

so, 50x + 10 = 360

50x = 360 - 10 = 350

x = 350/50 = 7.

greatest angle is at corner F.

15x + 14 = 15(7) + 14 = 105 + 14 = 119.

that is 119°