In figure 11.35, ABCDE is a regular pentagon. If angle EBD = 36°, fin

1.	In figure 11.35, ABCDE is a regular pentagon. If angle EBD = 36°, find angle 1,2 and 3
Answer» Answer: Step-by-step explanation: As you KNOW that sum of angles A , B,C,D and E = 540 degree there fore each ANGLE A , B,C ,D and E measures = 108 degree Angle A = 108 degree now in triangle ABE , AB=AE ( because it is regular pentagon, all sides are equal) so Triangle ABE is isosceles triangle. Angle ABE = angle AEB (i) now angle A + angle AEB+ angle AEB = 180 104 + 2 angle ABE= 180 (because of (i) ) angle AEB =36 degree (which is angle 2) SIMILARLY angle 3 = 36 degree

In figure 11.35, ABCDE is a regular pentagon. If angle EBD = 36°, find angle 1,2 and 3

Answer»

Answer:

Step-by-step explanation:

As you KNOW that sum of angles A , B,C,D and E = 540 degree

there fore each ANGLE A , B,C ,D and E measures = 108 degree

Angle A = 108 degree

now in triangle ABE ,

AB=AE ( because it is regular pentagon, all sides are equal)

so Triangle ABE is isosceles triangle.

Angle ABE = angle AEB (i)

now angle A + angle AEB+ angle AEB = 180

104 + 2 angle ABE= 180 (because of (i) )

angle AEB =36 degree (which is angle 2)

SIMILARLY angle 3 = 36 degree