use the triangle sum theorem to find the measures of each angle : (8x + 5)° , (5x - 1)° , (4x + 6)°
A. 42°, 44°, and 79°
B. 46°, 49°, and 85°
C. 50°, 54°, and 93°
D. 46°, 50°, and 85°
Let's add up the measures of the three angles:
(8x + 5) + (5x - 1) + (4x + 6) = 180
17x + 10 = 180
17x = 170
x = 10
Now, we can find the measures of each angle by substituting x = 10 back into the expressions:
(8(10) + 5) = 85°
(5(10) - 1) = 49°
(4(10) + 6) = 46°
Therefore, the measures of each angle are 85°, 49°, and 46°, which corresponds to answer choice B. 46°, 49°, and 85°.