Question

Help pls

The base of a fountain is in the shape of a quadrilateral, as shown.
Find the measure of each interior angle of the fountain.

Answer 1

∠ A = 96° , ∠ B = 112° , ∠ C = 64° , ∠ D = 88°

Explanation:

the sum of the interior angles of a quadrilateral is 360°

sum the angles and equate to 360

14n + 8n + 11n + 12n = 360

45n = 360 ( divide both sides by 45 )

n = 8

Then

∠ A = 12n = 12 × 8 = 96°

∠ B = 14n = 14 × 8 = 112°

∠ C = 8n = 8 × 8 = 64°

∠ D = 11n = 11 × 8 = 88°