Question

For questions 15 - 19.
X
Z
2
138
4
Y
W
Question 15

Answer 1

∠1 = 42°

∠2 = 48°

∠4 = 48°

∠3 = 21°

∠5 = 21°

Explanation:

Given:

∠WZY = 138°

Find:

∠1

∠2

∠3

∠4

∠5

Computation:

WZ = ZY

So,

∠3 = ∠5

So,

∠3 + ∠5 + 138 = 180

2∠3 = 42

∠3 = 21°

∠5 = 21°

∠1 = 180 - 138

∠1 = 42°

∠W = ∠Y

∠X + ∠Y + ∠W = 180

42 + ∠Y + ∠W = 180

∠Y = 69

∠2 = 69 - 21

∠2 = 48°

∠4 = 48°