Fund the measure of the marked angles. Below is an image showing an intersection of two straight lines forming opposite angles. The angles are represented algebraically as follows:- One angle is labeled as (4x - 37)°.- The opposite angle is labeled as (7x - 10)°.Explanation:When two straight lines intersect, they form two pairs of opposite (vertical) angles that are equal in measure. Therefore, the equation below can be used to solve for x:\[ (4x - 37)° = (7x - 10)° \]This equation can be further simplified to find the value of x, which can then be used to find the measure of these angles.

Answered: Image /qna-images/answer/0fa95b55-9367-42c6-8416-e9bd99a4241b.jpg

Answered: (4x+37)° (7x+10)°

Math

Trigonometry

(4x+37)° (7x+10)°

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Concept explainers

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.

Question

Fund the measure of the marked angles.

Below is an image showing an intersection of two straight lines forming opposite angles. The angles are represented algebraically as follows:

- One angle is labeled as (4x - 37)°.
- The opposite angle is labeled as (7x - 10)°.

Explanation:

When two straight lines intersect, they form two pairs of opposite (vertical) angles that are equal in measure. Therefore, the equation below can be used to solve for x:

\[ (4x - 37)° = (7x - 10)° \]

This equation can be further simplified to find the value of x, which can then be used to find the measure of these angles.

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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