Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
4. Zero and Negative Exponents
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Exercise 4 Page 341

When two angles in one triangle are congruent to two angles in another triangle, the third angles are also congruent and the triangles are similar.

Yes, see solution.

Practice makes perfect
We want to determine whether the given triangles are similar.
A triangle with the angle measures x, 42, and 65 degrees, and a triangle with the angle measures 65, y, and 42 degrees

Let's recall that when two angles in one triangle are congruent to two angles in another triangle, the third angles are also congruent and the triangles are similar. We can see in the diagram that the triangles have two pairs of congruent angles. Therefore, the triangles are similar.