In a triangle, if two angles are 45 degrees and 55 degrees, what is the measure

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What’s inside this PDF?

Question: In a triangle, if two angles are 45 degrees and 55 degrees, what is the measure of the angle formed by a line parallel to one side of the triangle and the extension of the other side?

Options:

80 degrees
45 degrees
55 degrees
100 degrees

Correct Answer: 80 degrees

Solution:

The third angle of the triangle is 80 degrees. The angle formed by the parallel line and the extension of the other side is equal to this angle due to the Corresponding Angles Postulate.

In a triangle, if two angles are 45 degrees and 55 degrees, what is the measure

Practice Questions

In a triangle, if two angles are 45 degrees and 55 degrees, what is the measure of the angle formed by a line parallel to one side of the triangle and the extension of the other side?

80 degrees
45 degrees
55 degrees
100 degrees

Questions & Step-by-Step Solutions

In a triangle, if two angles are 45 degrees and 55 degrees, what is the measure of the angle formed by a line parallel to one side of the triangle and the extension of the other side?

Triangle Angle Sum – The sum of the angles in a triangle is always 180 degrees.
Corresponding Angles Postulate – When a transversal intersects two parallel lines, the angles in corresponding positions are equal.

In a triangle, if two angles are 45 degrees and 55 degrees, what is the measure

What’s inside this PDF?

In a triangle, if two angles are 45 degrees and 55 degrees, what is the measure

Practice Questions

Questions & Step-by-Step Solutions

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