Two angles are complementary. lf the measure of one angle is 20 more than the measure of the second angle, what is the number of degrees in the measure of the smaller angle?

1 Answer
MAXIMILIAN C.
Apr 17, 2018

#x=35#
The measure of the smaller angle is 35 degrees.

Explanation:

Complimentary angles add up to 90 degrees, so we can use the formula
#x+(x+20)=90# to find the measure of the smaller angle. Combining like terms:
#2x=70# Isolate #x#:
#x=35#
Check:
#35+(35+20)=90# So it's good.

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