Question

In a A ABC, if 3 ZA = 42B = 6 ZC, calculate the angles.
Tlotho
10​

Answer 1

Answer:

∠A = 80°, ∠B = 60°, ∠C = 40°

Step-by-step explanation:

In a ΔABC, 3∠A = 4∠B = 6∠C

For any triangle ∠A + ∠B + ∠C = 180°

∴ ∠A + $\frac{3}{4}$ ∠A + $\frac{3}{6}$ ∠A = 180°

=> 12 ∠A + 9 ∠A + 6 ∠A = 12 x 180°

=> 27∠A = 12 x 180°

∴ ∠A = $\frac{12 x 180}{27}$ = 80°

∴ ∠B = $\frac{3}{4}$ ∠A = 60°

∴ ∠C = $\frac{3}{6}$ ∠A = 40°