Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
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In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
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Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
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Help me find the measure of this square
**Problem Statement:** Find the measure of \( \angle x \). **Diagram Explanation:** The diagram shows two intersecting lines forming an 'X' shape. This creates vertical angles at the intersection. The given angles are labeled as follows: - One angle measures \( 132^\circ \). - Another angle measures \( 31^\circ \). **Angle \( x \) is the angle adjacent to the \( 132^\circ \) angle.** **Solution:** To find \( \angle x \), use the linear pair rule. A linear pair is formed by two adjacent angles whose non-common sides form a straight line. Therefore, the sum of the angles in a linear pair is \( 180^\circ \). \[ \angle x + 132^\circ = 180^\circ \] To solve for \( \angle x \): \[ \angle x = 180^\circ - 132^\circ \] \[ \angle x = 48^\circ \] **Conclusion:** The measure of \( \angle x \) is \(\boxed{48^\circ}\).
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Transcribed Image Text:**Problem Statement:** Find the measure of \( \angle x \). **Diagram Explanation:** The diagram shows two intersecting lines forming an 'X' shape. This creates vertical angles at the intersection. The given angles are labeled as follows: - One angle measures \( 132^\circ \). - Another angle measures \( 31^\circ \). **Angle \( x \) is the angle adjacent to the \( 132^\circ \) angle.** **Solution:** To find \( \angle x \), use the linear pair rule. A linear pair is formed by two adjacent angles whose non-common sides form a straight line. Therefore, the sum of the angles in a linear pair is \( 180^\circ \). \[ \angle x + 132^\circ = 180^\circ \] To solve for \( \angle x \): \[ \angle x = 180^\circ - 132^\circ \] \[ \angle x = 48^\circ \] **Conclusion:** The measure of \( \angle x \) is \(\boxed{48^\circ}\).
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