Answer:
a = 108° and b = 144°
Explanation:
The opposite angles of a rhombus are the same and the sum of all the angles of the rhombus is 360°.
So, from the given diagram of the rhombus we can write
2b + 2× 36 = 360
⇒ 2b = 360 - 72 = 288
⇒ b = 144° (Answer)
Again, the each angles of a pentagon is given to be a.
Hence, we can write 3a + 36 = 360
⇒ 3a = 324
⇒ a = 108° (Answer)