Question

△ABC is similar to △XYZ . Also, angle A measures 45° and angle C measures 60°. What is the measure of angle Y? Show all your calculations!

Answer 1

Just took the test and got it right :)))

Explanation:

Look at the image down below!!

Answer 2

75° Since △ABC is similar to △XYZ, that means that angle A equals angle X, angle B equals angle Y, and angle C equals angle Z. So let's look at the data we have. Angle A measures 45° and angle C measures 60°. That means that angle B measures 180° - 45° - 60° = 75° since all triangles have 180° and we've been told the measurement of two of the angles. And since angle Y is equal to angle B (which we just calculated), that means that angle Y is also equal to 75°