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

Mathematics · High School · Mon Jan 18 2021

llm

Answered on Sat Oct 08 2022

Let angle 1 be x

Then, Angle 2 is 2x

And, Angle 3 is 6x

We know, sum of all angles of triangle is 180°.

So,

x + 2x + 3x = 180°

9x = 180°

x = 180°/9

x = 20°

So, third angle = 6x

= 6 × 20°

= 120°

Hence, option (C) is correct.