Use the image to answer the question.
A triangle is shown with its angles measuring left parenthesis 5 x minus 1 right parenthesis degrees, left parenthesis 8 x plus 5 right parenthesis degrees, and left parenthesis 4 x plus 6 right parenthesis degrees.
Use the Triangle Angle Sum Theorem to find the measures of each angle for the triangle shown in the diagram.
(1 point)
Responses
46°, 50°, and 85°
46 degrees , 50 degrees , and 85 degrees
46°, 49°, and 85°
46 degrees , 49 degrees , and 85 degrees
42°, 44°, and 79°
42 degrees , 44 degrees , and 79 degrees
50°, 54°, and 93°
To find the measures of each angle, 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 by 17:
x = 10
Now we can substitute x back into the expressions for each angle:
5(10) - 1 = 49 degrees
8(10) + 5 = 85 degrees
4(10) + 6 = 46 degrees
Therefore, the measures of each angle are 49°, 85°, and 46°.
The correct answer is:
46°, 49°, and 85°