Question

Use the image to answer the question.

A triangle a b c is shown with angle a measuring 4 x plus 14, angle b measuring 5 x plus 4, and angle c measuring 6 x minus 3.

Use the Triangle Angle Sum Theorem to find the measure of the angles for the triangle in the diagram.

(1 point)
Responses

59°
, 63°
, and 48°

59 degrees , 63 degrees , and 48 degrees

54°
, 44°
, and 82°

54 degrees , 44 degrees , and 82 degrees

59°
, 58°
, and 63°

59 degrees , 58 degrees , and 63 degrees

57°
, 54°
, and 69°

57 degrees , 54 degrees , and 69 degrees
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Answer 1

Sum: (4x+14)+(5x+4)+(6x-3)=180 → 15x+15=180 → x=11.

Angles: A = 4(11)+14 = 58°, B = 5(11)+4 = 59°, C = 6(11)-3 = 63°.

So the measures are 59°, 58°, and 63° (same set as 58°, 59°, 63°).