Question

Determine the value of z.

Question 9 options:

A)

53°

B)

121°

C)

57°

D)

239°

Answer 1

The answer should be 121°

Answer 2

Step-by-step explanation:

Let angle y be the unknown angle inside the triangle.

given

y + 87 + 34 = 180 (sum of angles in a triangle)

`y + 87 + 34 = 180 \\ y + 121 = 180 \\ y = 180 - 121 \\ = 59`

given y + z = 180 (angles on same straight line)

`y + z = 180 \\ 59 + z = 180 \\ z = 180 - 59 \\ = 121`