An angle measures 73.6° less than the measure of its supplementary angle. What is the measure of each angle?
1 answer:
Answer:
Smaller angle = 53.2
Larger angle = 126.8
Step-by-step explanation:
Lets say x is the measure of the supplement. Since we know they're supplementary, we know their angle measure sum will equal 180. We can set up our equation like this . Note: (x - 73.6) is the measure of the smaller angle. By solving, we get 126.8 degrees for the measure of the supplement. If we plug in the value of x into (x-73.6), we get 53.2 degrees as the angle measure of the smaller angle.
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Answer:
.
Step-by-step explanation:
Two angles are supplements of one another if their sum is .
Two angles are complements of one another if their sum is .
Let be the measure of the angle in question.
The supplement of this angle would be .
The complement of this angle would be .
According to the question:
.
Solve this equation for :
.
Thus, this angle would measure should .
The supplement of this angle would measure . The complement of this angle would measure
.
Three times the complement of this angle would be , which is indeed
greater than the supplement of this angle.
the equation is the horizontal line which parts through (-5,6), since it has no slope.