If
∠H
and
∠P
each equal 38 degrees and
∠G
and
∠Q
each equal 41 degrees, is
△FHG∼△PRQ
△
𝐹
𝐻
𝐺
∼
△
𝑃
𝑅
𝑄
?
To show that △FHG ∼ △PRQ, we need to show that the corresponding angles are congruent and the corresponding sides are proportional.
Given that ∠H = 38 degrees and ∠P = 38 degrees, we can conclude that ∠H ≅ ∠P.
Given that ∠G = 41 degrees and ∠Q = 41 degrees, we can conclude that ∠G ≅ ∠Q.
Therefore, the corresponding angles ∠H ≅ ∠P and ∠G ≅ ∠Q are congruent.
To show that the corresponding sides are proportional, we can compare the ratios of the corresponding side lengths. However, we do not have any information about the side lengths in the question. Without additional information, we cannot conclude that the sides of △FHG and △PRQ are proportional.
Therefore, we cannot conclude that △FHG ∼ △PRQ.