Given that m∠EFJ = 70°, find m∠KFG. Responses A 10°10° B 20°20° C 30°30° D 40

Answer 1

We need to use the triangle angle sum theorem, which states that in a triangle, the sum of the interior angles is always 180°.

First, we know that m∠EFJ = 70°. Because ∠EFJ and ∠FGK are corresponding angles, we can say that m∠FGK = m∠EFJ = 70°.

Now, let's find the measure of ∠KFG. Let x be the measure of ∠KFG.

Sum of angles in triangle EKF:
70° + 50° + x = 180°
120° + x = 180°
x = 180° - 120°
x = 60°

Therefore, m∠KFG = 60°. So, the correct answer is not listed in the options provided.