Question

Find the measure of the missing angles.
55°
X
y

Answer 1

x = 35 degrees
This is because if you add x to 55, it would be a right angle. Or if you noticed that it is a right angle, you would subtract 90 from 55 to get 35.

y = 35 degrees
Add the 55 degrees and the already existing right angle to get 145. Since you are trying to find the value that equals 180, subtract 145 from 180 to get 35.

Answer 2

x = 35° , y = 125°

Explanation:

y and 55° lie on the straight line and sum to 180° , that is

y + 55° = 180° ( subtract 55° from both sides )

y = 55°

x and 55° form a right angle and sum to 90° , that is

x + 55° = 90° ( subtract 55° from both sides )

x = 35°