The sum of the measures of two angles of a scalene triangle is calculated, and the result is the same as the measure of one of t
he external angles of a triangle. Which pair of angle measures was calculated?
2 answers:
The complete question in the attached figure
we know that
The Exterior Angle Theorem establishes that t<span>he measure of an exterior angle of a triangle equals to the sum of the measures of the two remote interior angles of the triangle.
so
the answer is the option
</span><span>A. the remote interior angles</span>
we know that
The Exterior Angle Theorem establishes that t<span>he measure of an exterior angle of a triangle equals to the sum of the measures of the two remote interior angles of the triangle.
so
the answer is the option
</span><span>A. the remote interior angles</span>
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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.