ABCDE is a regular pentagon as shown in the given figure. Find the value of x, y and z.
Answers
Answered by
0
No photo plz give us photo
TwilightSky:
I can't attach the photo now that you have commented.
i have the picture with me.
just click on camera
so which is the, Y, z
and x
i can't see it. I will upload the question once more.
Answered by
0
No picture then how to ans

In ΔBDE, ∠b + ∠c + ∠x = 180° [Angle sum property of triangle] →(1)
Also each angle of a regular pentagon is 108°
Hence ∠a + ∠x = 108°
⇒ ∠x = 108° – ∠a
∴ Equation (1) becomes,
∠b + ∠c + 108° – ∠a = 180°
⇒ ∠b + ∠c – ∠a = 180° – 108° = 72°
In ΔBDE, ∠b + ∠c + ∠x = 180° [Angle sum property of triangle] →(1)
Also each angle of a regular pentagon is 108°
Hence ∠a + ∠x = 108°
⇒ ∠x = 108° – ∠a
∴ Equation (1) becomes,
∠b + ∠c + 108° – ∠a = 180°
⇒ ∠b + ∠c – ∠a = 180° – 108° = 72°
Similar questions