a X d b C If angle c measures 4x degrees, and angle b is 168 degrees, what is x?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The image shows a trapezoid with labeled angles: \(a\), \(b\), \(c\), and \(d\). The problem states:

"If angle \(c\) measures \(4x\) degrees, and angle \(b\) is 168 degrees, what is \(x\)?"

Below the problem, there is a box for the answer.

### Explanation

In the diagram, angles are labeled in a quadrilateral shape, specifically a trapezoid. The angles are denoted by letters:
- Angle \(a\) is the upper left angle.
- Angle \(b\) is the upper right angle, measuring 168 degrees.
- Angle \(c\) is the bottom right angle, given as \(4x\) degrees.
- Angle \(d\) is the bottom left angle.

The task is to find the value of \(x\) given these conditions.

### Solution Tip

Remember that the sum of the interior angles in a quadrilateral is always 360 degrees. This information can be used to write an equation involving the given angle measures to solve for \(x\).
Transcribed Image Text:The image shows a trapezoid with labeled angles: \(a\), \(b\), \(c\), and \(d\). The problem states: "If angle \(c\) measures \(4x\) degrees, and angle \(b\) is 168 degrees, what is \(x\)?" Below the problem, there is a box for the answer. ### Explanation In the diagram, angles are labeled in a quadrilateral shape, specifically a trapezoid. The angles are denoted by letters: - Angle \(a\) is the upper left angle. - Angle \(b\) is the upper right angle, measuring 168 degrees. - Angle \(c\) is the bottom right angle, given as \(4x\) degrees. - Angle \(d\) is the bottom left angle. The task is to find the value of \(x\) given these conditions. ### Solution Tip Remember that the sum of the interior angles in a quadrilateral is always 360 degrees. This information can be used to write an equation involving the given angle measures to solve for \(x\).
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