Question

In a triangle, if 15∠A = 10∠B = 6 ∠C, find the measure of all the angle.

pls and fast step by step will mark brainlist.

Answer 1

According to the condition in the △ABC, 2∠A=3∠B=6∠C

⇒∠A=3∠C and, ∠B=2∠C

Sum of interior angles of the triangle is 180 o

Hence ∠A+∠B+∠C=180 o

⇒3∠C+2∠C+∠C=180 o

⇒∠C=30 o

∴∠A=90 0 ,∠B=60 o ,∠C=30 o