Question

C=6x-3

B=5x+4
A=4x+14
Use the triangle angle sun theorem to find the measure of angles from triangle in the diagram.

59°,63°, and 48°
54°,44°, and 82°
59°,58°, and 63°
57°,54°, and 69°

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the measure of angles in a triangle using the Triangle Angle Sum Theorem, we need to set up an equation where the sum of all three angles is equal to 180 degrees.

For the first option:
Let the measure of angle C = 6x - 3
Let the measure of angle B = 5x + 4
Let the measure of angle A = 4x + 14

Set up the equation:
6x - 3 + 5x + 4 + 4x + 14 = 180

Combine like terms:
15x + 15 = 180

Subtract 15 from both sides:
15x = 165

Divide both sides by 15:
x = 11

Now, substitute x = 11 back into the expressions for the angles:
Angle C = 6(11) - 3 = 63°
Angle B = 5(11) + 4 = 59°
Angle A = 4(11) + 14 = 58°

Therefore, the angles of the triangle are 59°, 63°, and 58°.