[Answer] 10. There is a right triangle PQR where: angle Q = 90 degrees; angle P = angle R. What is the measure of angles P and R?

Step 1 : Introduction to the question "10. There is a right triangle PQR where: angle Q = 90 degrees; angle P = angle R. What is the measure of angles P and R?"

...1. 60 degrees 2. 65 degrees 3. 75 degrees 4. 45 degrees In the given triangle PQR, angle Q = 90 degrees. Now let us assume: angle P = angle R = x. By the angle sum property of a triangle, the sum of the three angles of a triangle is equal to 180 degrees. => angle P + angle Q + angle R = 180 degrees => x + x + 90 degrees = 180 degrees => 2x = 90 degrees => x = 45 degrees Hence, *both angle P and angle R = 45 degrees*.

Step 2 : Answer to the question "10. There is a right triangle PQR where: angle Q = 90 degrees; angle P = angle R. What is the measure of angles P and R?"

45 degrees:

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