Question

Triangle GHI is similar to triangle JKL. If angle H measures 60 degrees and angle L measures 25 degrees, what is the measure of angle J?

Answer 1

∠ J = 95°

Explanation:

Triangle GHI is similar to triangle JKL. If ∠H measures 60° and ∠ L = 25° then we have to find the measure of ∠ J.

Since in similar triangles Δ GHI and ΔJKL

∠G = ∠J, ∠ H = ∠ K and ∠ I = ∠ L

Therefore In triangle JKL

since ∠ K = ∠ H and ∠ H = 60°

Therefore ∠ K = 60°

Now ∠ J = 180°- (60° + 25°) = 180 - 85 = 95°

Answer is ∠ J = 95°.

Answer 2

Since the two triangles are similar angle G = angle J, angle H = angle K, angle I = angle L
Therefore, angle J = 180 - 60 - 25 = 95 degrees.