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Angles and Perpendiculars

ACTMAT-Q5YEVQ

The figure below shows a diagram of a house with a chimney:

The angle the roof makes with the ceiling of the house is $36°$, as shown. If the chimney is rectangular in shape and is perpendicular to the floor and ceiling as shown, what is the measure of angle $x$?

A

$54°$

B

$74°$

C

$108°$

D

$126°$

E

$144°$