We are asked to determine whether the given triangles are similar.
From the picture, we can see that the angles Q and V have the same measure. This means that they are congruent angles.
∠ Q ≅ ∠ V
Now, 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 RQS.
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∠ R.
47+68+ m ∠ R =180
Let's solve this equation for m ∠ R.
