For concave pentagon ABCDE, find the measure of the reflex angle at vertex E (in degrees) if m∠A = m∠D = x°, m∠B = m∠C = (5x)°, and the measure of the reflex angle at vertex E is (8x)°.A pentagon has 5 labeled vertices and 5 marked angles.The first side starts at vertex A, goes down and to the left, and ends at vertex B.The second side starts at vertex B, goes down vertically, and ends at vertex C.The third side starts at vertex C, goes down and to the right, and ends at vertex D.The fourth side starts at vertex D, goes up and to the left, and ends at vertex E.The fifth side starts at vertex E, goes up and to the right, and ends at vertex A.∠A is marked with a single arc.∠B is marked with a double arc.∠C is marked with a double arc.∠D is marked with a single arc.The reflex angle at E is marked with an arrow.

Answered: For concave pentagon ABCDE, find the…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.4: Basic Constructions Justified

Problem 38E

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For concave pentagon ABCDE, find the measure of the reflex angle at vertex E (in degrees) if

m∠A = m∠D = x°,

m∠B = m∠C = (5x)°,

and the measure of the reflex angle at vertex E is (8x)°.

A pentagon has 5 labeled vertices and 5 marked angles.

The first side starts at vertex A, goes down and to the left, and ends at vertex B.
The second side starts at vertex B, goes down vertically, and ends at vertex C.
The third side starts at vertex C, goes down and to the right, and ends at vertex D.
The fourth side starts at vertex D, goes up and to the left, and ends at vertex E.
The fifth side starts at vertex E, goes up and to the right, and ends at vertex A.
∠A is marked with a single arc.
∠B is marked with a double arc.
∠C is marked with a double arc.
∠D is marked with a single arc.
The reflex angle at E is marked with an arrow.

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