### Home > INT2 > Chapter 7 > Lesson 7.1.1 > Problem 7-16

For each diagram below, determine the value of , if possible. If the triangles are congruent, state which triangle congruence condition you used. If the triangles are not congruent or if there is not enough information, state, “Cannot be determined”.

below is a triangle.is made of two right triangles with the same base and height. Calculate using the Pythagorean Theorem.

The diagram indicates

andare parallel. Which angles does that make congruent?Since the segments are parallel,

. Therefore, the triangles are congruent by ASA , so .

Since

is a right triangle, use the tangent ratio to find . Review the Math Notes boxes in Lessons 3.2.5 and 2.3.2.

andare straight line

segments.Review the triangle congruence theorems in the Math Notes box in Lesson 2.1.1.