(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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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.
Transcribed Image Text: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.
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