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An exterior angle of a triangle is of measure 70 degree and one of its interior opposite angles is of measure 25 degree. Find the measure of the other interior opposite​

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Final answer:

To find the measure of the other interior opposite angle, subtract the given angle and the exterior angle from 180 degrees.

Step-by-step explanation:

To find the measure of the other interior opposite angle, we need to remember that the sum of the interior angles of a triangle is always 180 degrees. We are given that one of the interior angles is 25 degrees. To find the measure of the other interior opposite angle, we can subtract the given angle and the exterior angle from 180 degrees.

The measure of the other interior opposite angle = 180 degrees - 70 degrees - 25 degrees = 85 degrees.

Therefore, the measure of the other interior opposite angle is 85 degrees.

The measure of the other interior opposite angle in the triangle, given the exterior angle is 70 degrees and one opposite interior angle is 25 degrees, is 45 degrees.

The subject of this question is geometry, specifically dealing with the angles of a triangle. In a triangle, the sum of the interior angles is always 180 degrees and an exterior angle of a triangle is equal to the sum of the two opposite interior angles.

In this case, we know that one of the opposite interior angles is 70 degrees and the exterior angle is 25 degrees. To find the measure of the other interior opposite angle, we need to subtract 25 degrees from the exterior angle which gives us 70 - 25 = 45 degrees.

So, the measure of the other interior opposite angle is 45 degrees.

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