In triangle EFG, m∠E = 84.3° and m∠F = 36.4°. Determine the measure of the exterior angle to ∠G.
a 47.9°
b 59.3°
c 121.1°
d 120.7°
The sum of the interior angles in a triangle is always 180°.
In triangle EFG, we know that m∠E = 84.3° and m∠F = 36.4°.
To find the measure of ∠G, we can use the fact that the sum of the interior angles in a triangle is 180°.
m∠G = 180° - m∠E - m∠F
m∠G = 180° - 84.3° - 36.4°
m∠G = 59.3°
Therefore, the measure of the exterior angle to ∠G is 59.3°.
The answer is b) 59.3°.