Use the image to answer the question.
COURSE OUTLINE
B
Item 1
Item 2
Item 3
page 13 of 13
COURSE TOOLS
Item 4
tem5
5x + 4
4x + 14
A
6x-3
C
Use the Triangle Angle Sum Theorem to find the measure of the angles for the triangle in the diagram.
(1 point)
0 54°, 44°, and 82°
O 59°,58°, and 63°
O 57,54°, and 69°
O 59°, 63°, and 48°
The Triangle Angle Sum Theorem states that the sum of the three interior angles of a triangle is always 180 degrees. Using this theorem and the values provided in the diagram, we can add the angles together:
5x + 4 + 4x + 14 + 6x - 3 = 180
15x + 15 = 180
15x = 165
x = 11
Now we can substitute x back into the equations to find the angles:
5(11) + 4 = 59°
4(11) + 14 = 58°
6(11) - 3 = 63°
Therefore, the angles of the triangle are 59°, 58°, and 63°.
Therefore, the correct answer is:
59°, 58°, and 63°.