Find the measure of the missing angle in the figure.
-
A)57°
B)67°
C)49°
D)33°

Question

Find the measure of the missing angle in the figure.
-
A)57° 
B)67° 
C)49° 
D)33°

Quizplus · Accepted Answer

In a triangle, the sum of all three angles is 180°. 
Therefore, 110° + 13x + 2x + 8x = 180° 
Combining like terms, we get 23x + 110° = 180° 
Subtracting 110° from both sides, we get 23x = 70° 
Dividing both sides by 23, we get x = 3° 
Now, we can find the missing angle: 
13x + 2x = 13(3°) + 2(3°) = 45° 
180° - 110° - 45° = 25° 
Therefore, the missing angle is 25° + 32° = 57°.

Find the Measure of the Missing Angle in the Figure