Triangle ABC has the following angle measures:
m∠A = (x + 6)°, m∠B = (3x − 15)°, m∠C = (5x + 36)°
What is m∠C?
17°
23°
36°
121°
To find the measure of angle C, we need to solve for x first. Since the sum of the angles in a triangle is 180 degrees, we can write the equation:
(x + 6) + (3x - 15) + (5x + 36) = 180
Combine like terms:
9x + 27 = 180
Subtract 27 from both sides:
9x = 153
Divide by 9:
x = 17
Now that we know the value of x, we can substitute it back into the expression for angle C:
m∠C = 5x + 36 = (5*17) + 36 = 85 + 36 = 121°
Therefore, m∠C is 121°.