Question

∆RQS is similar to ∆TQU by the AA Similarity Postulate. What is the measure of angle R?
Show all work to verify your conclusion.

Answer 1

Answer:

$m<R=60\°$

Step-by-step explanation:

we know that

If two figures are similar, then its corresponding sides are congruent

so

In this problem

m<R=m<T ------> by corresponding angles

Remember that in a triangle the sum of the interior angles must be equal to 180 degrees

$m<Q+m<R+m<S=180\°$

substitute the values

$88\°+m<R+32\°=180\°$

$m<R=180\°-88\°-32\°=60\°$