Question

In A EFG, m/F = 3(m/G), and m/E= m/F - 30°. Find the measure of each angle.

Answer 1

Explanation:

Answer 2

see explanation

Explanation:

given ∠ F = 3 ∠ G and

∠ E = ∠ F - 30 = 3 ∠ G - 30

the 3 angles in the triangle sum to 180° , then

∠ G + 3 ∠ G + 3 ∠ G - 30° = 180° , that is

7 ∠ G - 30° = 180° ( add 30° to both sides )

7 ∠ G = 210° ( divide both sides by 7 )

∠ G = 30°

then

∠ F = 3 × 30° = 90°

∠ E = 90° - 30° = 60°

so ∠ E = 60° , ∠ F = 90° , ∠ G = 30°