### Home > GC > Chapter 12 > Lesson 12.1.3 > Problem 12-27

12-27.

the diagram below. Homework Help ✎

Write an equation using the geometric relationships in the diagram. Then solve your equation for

*x*.Find the measures of the acute angles of the triangle. What

**tool**did you use?

Use the Pythagorean Theorem.

*x*² + 8² = (*x* + 2)²*x*² + 64 = *x*² + 4*x* + 4

60 = 4*x**x* = 15

What trig ratio can you use to find one of the angles? Once you have two angles, what relationship can you use to find the last angle?

28.1°, 61.9°