The following is an isosceles trapezoid. Find the mzD. A 125 B D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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The following is an isosceles trapezoid. Find the m∠D.

**Problem Statement:**

The following is an isosceles trapezoid. Find the measure of angle D (\( m\angle D \)).

**Trapezoid Diagram:**

- **Vertices:** A, B, C, D
- **Angles and Sides:**
  - Angle at vertex A is marked as 125°.
  - The trapezoid is labeled as isosceles, indicating that the non-parallel sides (AC and BD) are equal in length.

**Answer Choices:**

- a) 90
- b) 55
- c) 125
- d) 180

**Explanation (If needed for educational purposes):**

Given that the trapezoid is isosceles, the angles on the same side are supplementary to each other. Therefore, angle D can be calculated as follows:

- \(\angle D = 180^\circ - 125^\circ = 55^\circ\)

Thus, the correct answer is option b) 55.
Transcribed Image Text:**Problem Statement:** The following is an isosceles trapezoid. Find the measure of angle D (\( m\angle D \)). **Trapezoid Diagram:** - **Vertices:** A, B, C, D - **Angles and Sides:** - Angle at vertex A is marked as 125°. - The trapezoid is labeled as isosceles, indicating that the non-parallel sides (AC and BD) are equal in length. **Answer Choices:** - a) 90 - b) 55 - c) 125 - d) 180 **Explanation (If needed for educational purposes):** Given that the trapezoid is isosceles, the angles on the same side are supplementary to each other. Therefore, angle D can be calculated as follows: - \(\angle D = 180^\circ - 125^\circ = 55^\circ\) Thus, the correct answer is option b) 55.
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