For the illustration shown if angle 1 has a measure of

105
105 degrees and the lines shown are parallel determine

1 answer

the measures of angles 2, 3, and 4.

Since line l is parallel to line m, we can use the properties of parallel lines and transversals to determine the measures of the angles in the diagram.

Angle 1 and angle 2 are alternate interior angles, which means they are congruent. Therefore, angle 2 also has a measure of 105 degrees.

Angle 1 and angle 3 are corresponding angles, which means they are congruent. Therefore, angle 3 also has a measure of 105 degrees.

Since angle 1 and angle 4 are also interior alternate angles, angle 4 also has a measure of 105 degrees.

Therefore, the measures of angles 2, 3, and 4 are all 105 degrees.
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