Question

Find the measure of angle x in the figure below: angle x⁰ angle 75⁰ 75⁰

a) 15⁰
b) 25⁰
c) 30⁰
d) 60⁰​

Answer 1

30 degrees

Explanation:

In the bottom triangle,

Both angles are 75 degrees, so their sum is 75 + 75 = 150 degrees
The remaining angle is 180 - (sum of the two other angles)
= 180 - ( 75 + 75)
= 30 degrees

As this angle is a the vertically opposite angle to x, it will be equal to x
∴ x = 30 degrees

Answer 2

the measure of the angle x is c)30°