Question

In a cyclic ◻️PQRS, ∠P is four times the measure of ∠R. Find ∠P. 
a)36
b)72
c)90
d)144​

Answer 1

Answer:

Option (d)... 144°

Step-by-step explanation:

Let ∠R be x

Therefore, ∠P = 4x

We know that, the sum of opposite angles of a cyclic quadrilateral = 180°

Therefore,

∠R +∠P = 180°

x + 4x = 180°

5x = 180°

x = 180/5

x = 36°

Hope this helps!!

Now, ∠P = 4x = 4×36 = 144°