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Lines, angles, and triangles SAT question

Math · Geometry and Trigonometry · Easy · Answer it here, explanation included.

In triangle , the measure of angle is and the measure of angle is . What is the measure of angle ?

ExplanationShow

Choice D is correct. The sum of the angle measures of a triangle is . Adding the measures of angles and gives . Therefore, the measure of angle is .

Choice A is incorrect and may result from subtracting the sum of the measures of angles and from , instead of from .

Choice B is incorrect and may result from subtracting the measure of angle from the measure of angle .

Choice C is incorrect and may result from adding the measures of angles and but not subtracting the result from .

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