Question

In a triangle ABC, if 2 angle A= 3 angle B=6 angle C , then the measure of smallest angle is​

Answer 1

Answer:

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   ,∠B=60  o  ,∠C=30  o

Step-by-step explanation: