Question

Look at the diagram of the irregular five-pointed star.
a Explain why x= b + d.
b Explain why y=C+e.
Show that the sum of the angles in the points of the star,
a + b + c + d + e,is 180º.
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Answer 1

Answer:

option b is the right answer

Answer 2

Answer:

Step-by-step explanation:

Using Triangle CEN,

x = b + d   -- (1)   (Exterior angle =sum of two interior opposite angles)

Using Triangle BDM,

y = c + e  --- (2)  (Exterior angle =sum of two interior opposite angles)

Using triangle ANM,

a + x + y = 180 °.  (sum of angle a triangle is 180 °)

Subst (1) and (2), we have
a + b + d + c + e  = 180 °