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

Question

Mathematics

Lamar Nolan

30 December, 03:35

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

+5

Answers (2)

Know the Answer?

Tiki · Answer 1

Its b if 3 times its c

Carina · Answer 2

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".

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 degreesB. 30 degreesC. 120 degreesD. 180 degrees

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