Answer:
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°