Question

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)
Responses

42°
, 44°
, and 79°

42 degrees , 44 degrees , and 79 degrees

46°
, 50°
, and 85°

46 degrees , 50 degrees , and 85 degrees

46°
, 49°
, and 85°

46 degrees , 49 degrees , and 85 degrees

50°
, 54°
, and 93°

50 degrees , 54 degrees , and 93 degrees
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Answer 1

Sum the angles: (5x−1)+(8x+5)+(4x+6)=180 → 17x+10=180 → 17x=170 → x=10.

Angles:
- 5x−1 = 50−1 = 49°
- 8x+5 = 80+5 = 85°
- 4x+6 = 40+6 = 46°

So the angles are 46°, 49°, and 85° (choose the 46°, 49°, and 85° option).