**Problem Statement:**If $ m \angle 1 = 75^\circ $ and $ m \angle 2 = 40^\circ $, what is $ m \angle 4 $?**Diagram Explanation:**The diagram shows a geometric figure with four numbered angles. The angles are labeled as follows:- Angle 1 is marked with $ m \angle 1 = 75^\circ $ (at the bottom left corner).- Angle 2 is marked with $ m \angle 2 = 40^\circ $ (below angle 1).- Angle 3 is positioned above angle 1.- Angle 4 is located above angle 2.The figure appears to be a parallelogram or a similar shape, indicating the angles are related by geometric properties, potentially involving parallel lines or supplementary angles.

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Answered: If m 1=75 and m 2=40°, what is the m4?

Math

Geometry

If m 1=75 and m 2=40°, what is the m4?

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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Concept explainers

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

**Problem Statement:**

If $ m \angle 1 = 75^\circ $ and $ m \angle 2 = 40^\circ $, what is $ m \angle 4 $?

**Diagram Explanation:**

The diagram shows a geometric figure with four numbered angles. The angles are labeled as follows:

- Angle 1 is marked with $ m \angle 1 = 75^\circ $ (at the bottom left corner).
- Angle 2 is marked with $ m \angle 2 = 40^\circ $ (below angle 1).
- Angle 3 is positioned above angle 1.
- Angle 4 is located above angle 2.

The figure appears to be a parallelogram or a similar shape, indicating the angles are related by geometric properties, potentially involving parallel lines or supplementary angles.

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