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HELP GEOMETRY PLEASE EXPLAIN ANSWER 40 points

HELP GEOMETRY PLEASE EXPLAIN ANSWER 40 points-example-1
User Rosefun
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The measure of the missing angle indicated by ? is equal to 125°

The exterior angles of a triangle are the angles formed outside the triangle, but adjacent to its sides.When a triangle is formed by two intersecting lines, each of the lines extended beyond the point of intersection forms two exterior angles. Also an exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Considering the triangle with an angle 25°, it has another interior angle 55° which make the third angle to be:

180 - (25 + 55) = 100°

Considering the exterior angle 155°, 100° will be one of its opposite interior angles, let the other that share same line with the missing angle be x so that we solve for x as follows:

x + 100° = 155

x = 155° - 100°

x = 55°

missing angle ? = 180 - 55 {sum of angles on a straight line}

? = 125°

Therefore, we have the measure of the angle indicated as ? to be 125°.

Complete question:

Find the missing angle ?.

User Michael Socha
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