The measure of two of the interior angles of a triangle are 65° and 51°. What is the measure of the third interior angle? A. 244° В. 25° с. 84° D. 64°

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter3: Math Models
Section3.4: Solve Geometry Applications: Triangles, Rectangles, And The Pythagorean Theorem
Problem 3.76TI: The measure of one angle of a right triangle is 30° more than the measure of the smallest angle....
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**Question 2:**

The measure of two of the interior angles of a triangle are 65° and 51°.

What is the measure of the third interior angle?

- A. 244°
- B. 25°
- C. 84°
- D. 64°

**Explanation:**
To find the measure of the third interior angle of a triangle, use the fact that the sum of the interior angles of a triangle is always 180°.

Step 1: Sum the given angles.
65° + 51° = 116°

Step 2: Subtract the sum of the given angles from 180°.
180° - 116° = 64°

So, the measure of the third interior angle is 64°.

Therefore, the correct answer is:

- **D. 64°**
Transcribed Image Text:**Question 2:** The measure of two of the interior angles of a triangle are 65° and 51°. What is the measure of the third interior angle? - A. 244° - B. 25° - C. 84° - D. 64° **Explanation:** To find the measure of the third interior angle of a triangle, use the fact that the sum of the interior angles of a triangle is always 180°. Step 1: Sum the given angles. 65° + 51° = 116° Step 2: Subtract the sum of the given angles from 180°. 180° - 116° = 64° So, the measure of the third interior angle is 64°. Therefore, the correct answer is: - **D. 64°**
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