In a triangle abc , if 2 angle A = 3 angle B = 6 angle C , calculate the measures of angle A , angle B and angle C.
Answers 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 180⁰
Hence ∠A+∠B+∠C=180⁰
⇒3∠C+2∠C+∠C=180⁰
⇒∠C=30⁰
∴∠A=90⁰ ,∠B=60⁰ ,∠C=30⁰
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