SOLUTION: The difference between the measures of an angle and its complement is 14. Find the measure of the smaller of the two angles.

SOLUTION: The difference between the measures of an angle and its complement is 14. Find the measure of the smaller of the two angles.

Algebra.Com

Question 709166:
The difference between the measures of an angle and its complement is 14. Find the measure of the smaller of the two angles.
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
X+(X-14)=90
2X-14=90
2X=90+14
2X=104
X=104/2
X=52 DEGREES FOR THE LARGER ANGLE.
52-14=38 DEGREES FOR THE SMALLER ANGLE.
PROOF:
52+38=90
90=90

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