Use the image to answer the question. Use the Triangle Angle Sum Theorem to find the measures of each angle for the triangle shown in the diagram. (1 point) Responses 50°, 54°, and 93° 50 degrees , 54 degrees , and 93 degrees 46°, 49°, and 85° 46 degrees , 49 degrees , and 85 degrees 42°, 44°, and 79° 42 degrees , 44 degrees , and 79 degrees 46°, 50°, and 85°

Question

Use the image to answer the question. Use the Triangle Angle Sum Theorem to find the measures of each angle for the triangle shown in the diagram. (1 point) Responses 50°, 54°, and 93° 50 degrees , 54 degrees , and 93 degrees 46°, 49°, and 85° 46 degrees , 49 degrees , and 85 degrees 42°, 44°, and 79° 42 degrees , 44 degrees , and 79 degrees 46°, 50°, and 85°

angles
5x-1
8x+5
4x+6

Answer 1

In the triangle shown in the diagram, the sum of all three angles is equal to 180°.

Therefore, we can set up the equation:

5x - 1 + 8x + 5 + 4x + 6 = 180.

Combine like terms:

17x + 10 = 180.

Subtract 10 from both sides:

17x = 170.

Divide both sides by 17:

x = 10.

Now we can substitute the value of x back into the expressions for each angle:

Angle 1: 5(10) - 1 = 49°.

Angle 2: 8(10) + 5 = 85°.

Angle 3: 4(10) + 6 = 46°.

Therefore, the measures of each angle for the triangle shown in the diagram are 49°, 85°, and 46°.

So, the correct answer is 49 degrees, 85 degrees, and 46 degrees.