Question

Geometry
Answers for 1-3,
Multiple Choice!​

Answer 1

1. a. ∠Y, ∠W, ∠X
2. d. 75°
3. d. 5

Explanation:

1. The sides, shortest to longest, are 5, 10, 12. The angles opposite are in the same order (smallest to largest). Those angles are ∠Y, ∠W, ∠X.

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2. The triangle isosceles, so the base angles are equal. The sum of angles in a triangle is 180°, so you have ...

30° + 2x = 180°

15° + x = 90° . . . . . divide by 2

x = 75° . . . . . . . . . . subtract 15°

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3. The midline of a triangle is half the length of the base it is parallel to, so ...

ML = 10/2 = 5

It is a midline because it joins the midpoints of two sides of the triangle.