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.

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Description: 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 ve

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Math

Geometry

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

SectionP.CT: Test

Problem 1CT

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Question

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.

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