one angle measures 8x+5 and another one measures 5x-1 and another one measures 4x+6
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 50°, 54°, and 93° 50 degrees , 54 degrees , and 93 degrees 42°, 44°, and 79°
To find the measures of each angle, we can set up the equation:
8x + 5 + 5x - 1 + 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 the value of x into each angle expression to find their measures:
Angle 1 = 8x + 5 = 8(10) + 5 = 80 + 5 = 85 degrees
Angle 2 = 5x - 1 = 5(10) - 1 = 50 - 1 = 49 degrees
Angle 3 = 4x + 6 = 4(10) + 6 = 40 + 6 = 46 degrees
Therefore, the measures of the angles are 85 degrees, 49 degrees, and 46 degrees. So the correct answer is 46°, 49°, and 85°.