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Determine the value of z.
Question 9 options:

A)

53°

B)

121°

C)

57°

D)

239°


Determine The Value Of Z Question 9 Options A 53 B 121 C 57 D 239 class=

Sagot :

Explanation:

Let angle y be the unknown angle inside the triangle.

given

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

[tex]y + 87 + 34 = 180 \\ y + 121 = 180 \\ y = 180 - 121 \\ = 59[/tex]

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

[tex]y + z = 180 \\ 59 + z = 180 \\ z = 180 - 59 \\ = 121[/tex]

The answer should be 121°