Question

HELP A triangle and its angle measures are shown in the diagram. What is the value of x?

a

16

b

10.28

c

1.6

d

56

Answer 1

a. 16

Explanation:

Triangles = 180 degrees

180 - 80 = 100

100 = (4x - 4) + (0.5x + 32)

4x - 4 + 0.5x + 32 =100

(4x + 0.5x) +(-4 + 32) = 100

4.5x + 28 = 100

4.5x + 28 -28 = 100 - 28

4.5x = 72

4.5x/4.5 = 72/4.5

x = 16