- - -_measure_of - -_R_is_63°_._Which_of_the - - ~ △RST In, the S following could be the measure, in degrees, of?
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
180° Choice A is correct. The sum of the measures of the angles of a triangle is . + + + 180° Therefore, the sum of the measures of R, S, and T is . It’s given that the + 63° + + measure of R is . It follows that the sum of the measures of S and T is 180-63 ° 117° + ^ h , or . Therefore, the measure of S, in degrees, must be less than 117 116 117 . Of the given choices, only is less than . Thus, the measure, in + 116 degrees, of S could be . + 118° Choice B is incorrect. If the measure of S is , then the sum of the measures 180° of the angles of the triangle is greater than, not equal to, . Choice C is + 126° incorrect. If the measure of S is , then the sum of the measures of the 180° 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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