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Find the measure of each angle from the picture shown below. T. (16x + 8)° (4x – 8)° - A MZBAT = degrees MLCAT = degrees %3D

Find the measure of each angle from the picture shown below. T. (16x + 8)° (4x – 8)° - A MZBAT = degrees MLCAT = degrees %3D

Elementary Geometry For College Students, 7e
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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### Question 2 Find the measure of each angle from the picture shown below. In the diagram, we have: - Line segments BA and AC forming an angle at point A. - \(\angle BAT\) is represented as \((16x + 8)^\circ\). - \(\angle CAT\) is represented as \((4x - 8)^\circ\). To find the measures of \(\angle BAT\) and \(\angle CAT\), we need to determine the value of \(x\) and use it to calculate each angle. **Image Description:** The diagram shows two intersecting lines forming angles at point A. Angle \(\angle BAT\) is marked as \((16x + 8)^\circ\) and angle \(\angle CAT\) is marked as \((4x - 8)^\circ\). The ray AT points upwards to the right, and the ray AC points downward to the right. The ray BA extends to the left. 1. \( m\angle BAT = \underline{\hspace{3cm}} \) degrees 2. \( m\angle CAT = \underline{\hspace{3cm}} \) degrees **Example Calculation:** If you have additional information or relationships about these angles (such as they are supplementary adding up to 180 degrees), use that to form and solve an equation to find \(x\). ### Question 3 Fill in the missing proof reasons.
Transcribed Image Text:### Question 2 Find the measure of each angle from the picture shown below. In the diagram, we have: - Line segments BA and AC forming an angle at point A. - \(\angle BAT\) is represented as \((16x + 8)^\circ\). - \(\angle CAT\) is represented as \((4x - 8)^\circ\). To find the measures of \(\angle BAT\) and \(\angle CAT\), we need to determine the value of \(x\) and use it to calculate each angle. **Image Description:** The diagram shows two intersecting lines forming angles at point A. Angle \(\angle BAT\) is marked as \((16x + 8)^\circ\) and angle \(\angle CAT\) is marked as \((4x - 8)^\circ\). The ray AT points upwards to the right, and the ray AC points downward to the right. The ray BA extends to the left. 1. \( m\angle BAT = \underline{\hspace{3cm}} \) degrees 2. \( m\angle CAT = \underline{\hspace{3cm}} \) degrees **Example Calculation:** If you have additional information or relationships about these angles (such as they are supplementary adding up to 180 degrees), use that to form and solve an equation to find \(x\). ### Question 3 Fill in the missing proof reasons.
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