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°
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 3.73TI: One angle of a right triangle measures 56°. What is the measure of the other small angle?
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question

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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