Question

in a triangle ABC, if 2 angle a=3 angle b=6 angle c,determine angle A

Answer 1

Step-by-step explanation:

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