Question

Triangle Angle Sum Theorem Quick Check
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Use the image to answer the question.

A triangle is shown with its angles measuring left parenthesis 5 x minus 1 right parenthesis degrees, left parenthesis 8 x plus 5 right parenthesis degrees, and left parenthesis 4 x plus 6 right parenthesis degrees.

Use the Triangle Angle Sum Theorem to find the measures of each angle for the triangle shown in the diagram.

(1 point)

50°
, 54°
, and 93°


46°
, 49°
, and 85°


42°
, 44°
, and 79°


46°
, 50°
, and 85°

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Answer 1

Use the angle-sum: (5x−1)+(8x+5)+(4x+6)=180
17x+10=180 → 17x=170 → x=10

Angles:
5x−1 = 5(10)−1 = 49°
8x+5 = 8(10)+5 = 85°
4x+6 = 4(10)+6 = 46°

Answer: 46°, 49°, and 85°.