Question

In triangle ABC, A=x, B=3x and C=2x. What is measure angle C. Enter your answer in the box

Answer 1

The measure of all the three angles of Triangle is 30° , 90° , 60°

Explanation:

Given as for a Triangle

∠ A = x°

∠ B = 3x°

∠ C = 2x°

Now, From The property of Triangle

The sum of measure of all the three angles of Triangle is 180°

So , ∠ A + ∠ B + ∠ C = 180°

Or, x° + 3x° + 2x° = 180°

Or, 6x° = 180°

∴ x =
`(180)/(6)` = 30°

So, The measure of ∠ A = 30° , ∠ B = 3× 30° = 90° , ∠ C = 2 × 30°= 60°

Hence The measure of all the three angles of Triangle is 30° , 90° , 60° Answer