Question

Please help me do it I only have 3 min

Answer 1

Answer:

1 A. 1080°

1 B. 142°, 74°,74°, 125°, 125°

Step-by-step explanation:

1A.

The sum of the measure of the interior angle of a convex octagon is given as

S = (n-2)180°................. Equation 1

Where n = 8 sides

S = (8-2)180°

S = 6×180°

S = 1080°

1B.

The sum of the angle of a convex pentagon is given as

S = (5-2)180°

S = 3×180°

S = 540°

From the diagram,

2x+142+2x+(3x+14)+(3x+14) = 540

10x+170 = 540

10x = 540-170

10x = 370

x = 37°

Hence,

∠H = ∠K = 2(37) = 74°,

∠M = ∠L= (3×37)+14 = 111+14 = 125°