ABCDE is a regular pentagon as shown in figure find the value of x y z
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Step-by-step explanation:
what is the value of this variables
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All inner angles of a pentagon of a regular pentagon = 108°
so
so angle b = 108°
the pentagon divided into 3 equal parts
( and angles also )
.°. y = 108/3 = 36°
∆ EBD is an iscosles triangle ( both sides are equal )
Sum of angles in a triangle = 180°
angle z # angle DEB
angle z + angle B + 36° = 180°
angle z = 180-36°/2
= 144/2
angle z = 72°
4 x and 2 y alternate angles
.°. Angle x = angle y
angle x 36°
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