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## #1 2017-11-23 14:51:43

**shakeel123****Moderator**- Registered: 2017-09-21
- Posts: 50,796

### If the difference between the measures of the two acute angles of...

# Armed Forces Police Math Exams Quizzes MCQs Quizzes Triangles Geometry

**Question:**

If the difference between the measures of the two acute angles of a right triangle is 20°, what is the measure, in degrees, of the smaller one?

**Option A):**

35°**Option B):**

20°**Option C):**

45°**Option D):**

55°

**Correct Answer is Option A):**

35°

**Explanation:****Solution:**

Draw a picture, label it, and then write the equations:

a + b = 90° and a - b = 20°

By adding the equations, we get 2a = 110°. So a = 55° and b = 90° - 55° = 35°. The measure of the smallest angle is 35°.

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## 2017-11-23 14:51:43

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### Re: If the difference between the measures of the two acute angles of...

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