Calculate the area and perimeter
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Answer:
The measure of the two supplementary angles are 65 degrees and 115 degrees.
Step-by-step explanation:
The sum of supplementary angles is equal to 180 degrees. Let x and y are two angles such that,
According to given condition,
One supplementary angle is 15 degrees less than twice the other, it means,
Putting the value of x from above equation in equation (1),
Now put the value of y in equation (1), so,
So, the measure of the two supplementary angles are 65 degrees and 115 degrees.
We have been given a chord and tangent to a circle. We have been minor arc measure that is equal to .
Since we know that angle formed by a secant and tangent of circle is half of the measure of intercepted arc.
We can find intercepted arc by subtracting minor arc measure from 360 degrees because minor and major arcs add up to 360 degrees.
Now we will plug given values in our formula,
Therefore, the measure of d is 121 degrees.