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DEN 16) 152 18) 99⁰ 60° 99⁰

DEN 16) 152 18) 99⁰ 60° 99⁰

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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Can someone please help me with problem 16 of the triangle congruence geometry assignment? Directions: Find the measures of all the angles in the diagram including the question mark.
The image contains two numbered geometry problems, each featuring angular diagrams with missing angle measures. --- ### Diagram 1 (Problem 16) - **Description:** - This diagram consists of a quadrilateral with two intersecting diagonal lines. - The angles provided are: - One angle is marked as \(99^\circ\). - Adjacent to the \(99^\circ\) angle, along the horizontal line, is an unlabeled angle (indicated with a question mark). - Another angle along the vertical diagonal line is \(60^\circ\). - The opposite angle, across the horizontal line from the \(60^\circ\) angle, is marked as \(99^\circ\). - The quadrilateral creates an internal angle of \(90^\circ\). --- ### Diagram 2 (Problem 18) - **Description:** - This is a pentagon with both internal and external angles shown. - The angles provided are: - An internal angle marked as \(100^\circ\). - Adjacent to this, some internal angles measure \(30^\circ\) and \(77^\circ\). - An external angle adjacent to the \(77^\circ\) internal angle is marked as \(80^\circ\). - One angle, near the top, is marked with a question mark indicating it is the unknown angle to solve for. --- These problems involve finding unknown angles using the properties of triangles and polygons, such as supplementary angles, and the sum of internal angles in a polygon.
Transcribed Image Text:The image contains two numbered geometry problems, each featuring angular diagrams with missing angle measures. --- ### Diagram 1 (Problem 16) - **Description:** - This diagram consists of a quadrilateral with two intersecting diagonal lines. - The angles provided are: - One angle is marked as \(99^\circ\). - Adjacent to the \(99^\circ\) angle, along the horizontal line, is an unlabeled angle (indicated with a question mark). - Another angle along the vertical diagonal line is \(60^\circ\). - The opposite angle, across the horizontal line from the \(60^\circ\) angle, is marked as \(99^\circ\). - The quadrilateral creates an internal angle of \(90^\circ\). --- ### Diagram 2 (Problem 18) - **Description:** - This is a pentagon with both internal and external angles shown. - The angles provided are: - An internal angle marked as \(100^\circ\). - Adjacent to this, some internal angles measure \(30^\circ\) and \(77^\circ\). - An external angle adjacent to the \(77^\circ\) internal angle is marked as \(80^\circ\). - One angle, near the top, is marked with a question mark indicating it is the unknown angle to solve for. --- These problems involve finding unknown angles using the properties of triangles and polygons, such as supplementary angles, and the sum of internal angles in a polygon.
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