What are the angle measures of the triangle?

The measures of the triangle are

Step-by-step explanation:

see the attached figure with letters to better understand the problem  

Step 1

Verify if the triangle ABC is a right triangle

Applying the Pythagoras Theorem

Is a right triangle

therefore

the measure of angle A is

Step 2

In the right triangle ABC

Step 3

Find the measure of angle B

we know that

the sum of the internal angles of a triangle is equal to

so

substitute the values and solve for B

The measures of the triangle are