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)

54°
, 44°
, and 82°


59°
, 63°
, and 48°


59°
, 58°
, and 63°


57°
, 54°
, and 69°

Skip to navigation

Answer 1

Sum the angles: (4x+14)+(5x+4)+(6x−3)=15x+15=180, so 15x=165 and x=11.

Then the angles are:
- A = 4(11)+14 = 58°
- B = 5(11)+4 = 59°
- C = 6(11)−3 = 63°

Answer: 59°, 58°, and 63°.