Question

Find the missing angles x and y vertical/adjacent angles

Answer 1

Answer: x = 49 degrees, y = 41 degrees

Explanation:

Using supplementary angles, we know that x + y + 90 degrees = 180 degrees.

Using complimentary angles, we know that x + 41 degrees = 90 degrees, and x + y = 90 degrees.

Solving first for x,

x + 41 degrees = 90 degrees

x = 90 - 41 degrees

x = 49 degrees

Solving for y,

x + y = 90

Substituting 49 degrees in for x,

y + 49 degrees = 90 degrees

y = 90 - 49 degrees

y = 41 degrees