Question

Help answer this question

Answer 1

Answer:

a = 108° and b = 144°

Step-by-step 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)