We are asked to determine whether the given triangles are similar.
From the picture, we can see that both triangles are right triangles. This means that their corresponding angles are congruent and have a measure of 90 ^(∘).
∠M ≅ ∠PNow, we have to find the measure of the third angle in either of the two triangles to determine whether they are similar. Let's consider triangle LMN.
We know that the sum of the measures of the interior of a triangle is always 180^(∘). This lets us write an equation to find m∠N.
35+90+ m ∠N =180
Let's solve this equation for m ∠N.
