Question in-965
In , the measure of is . Which of the following could be the measure, in degrees, of ?
In △ R S T , the measure of ∠ R is 63 ° . Which
Medium-difficulty · SAT Math · Lines, Angles, and Triangles — Triangle sum theorem. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice A is correct. The sum of the measures of the angles of a triangle is . Therefore, the sum of the measures of , , and is . It's given that the measure of is . It follows that the sum of the measures of and is , or . Therefore, the measure of , in degrees, must be less than . Of the given choices, only is less than . Thus, the measure, in degrees, of could be .
Choice B is incorrect. If the measure of is , then the sum of the measures of the angles of the triangle is greater than, not equal to, .
Choice C is incorrect. If the measure of is , then the sum of the measures of the angles of the triangle is greater than, not equal to, .
Choice D is incorrect. This is the sum of the measures of the angles of a triangle, in degrees.
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