Q:

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

Accepted Solution

A:
Answer:The measure of all the three angles of Triangle is 30° , 90° , 60°   Step-by-step 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 = [tex]\frac{180}{6}[/tex] = 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