Question

In a triangle, the second angle is twice the measure of the first, and the third angle is three times the measure of the second. Find the measure of the third angle.
A. 20 degrees

B. 30 degrees

C. 120 degrees

D. 180 degrees

Answer 1

Let us assume the measure of the first angle = x degrees
Then
Measure of the second angle = 2x
Measure of the third angle = 3 * 2x
                                           = 6x
Now
x + 2x + 6x = 180
9x = 180
x = 180/9
   = 20 degrees
So
Measure of the third angle = 6x
                                           = 6 * 20
                                           = 120 degrees
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is option "C".

Answer 2

Its b if 3 times its c