Question

6.7.4

Find the missing angle measure.
B
160°
143°
F
51°
1250
1330
D
0
The measure of the missing angle is
(Type an integer or a fraction.)

Answer 1

x = 108°

Explanation:

Formula to determine the sum of interior angles of a polygon is,

Sum of interior angles = (n - 2) × 180°

Here, n = Number of sides of the polygon

From the picture attached,

Number of sides 'n' = 6

m∠A + m∠B + m∠C + m∠D + m∠E + m∠F = (6 - 2) × 180°

143° + 160° + 51° + 133° + 125° + x° = 720°

612° + x° = 720°

x = 720 - 612

x = 108°