Question

Whoever is very good at math can you help cause I'm confused

Answer 1

Given
< C= <B/3
< B= < 3C.....eqn(i)

Since consecutive angles of parallelogram are supplementary :
<C +<B=180
<C+ < 3C =180
< C=180/4
< C=45°

So in eqn(i),

<B=3×45=135°

Since <A &<C are opposite angles of a parallelogram,they are equal.

<C =<A=45°↪Ans 1

Similarly for <B &<D,

<B=<D=135°↪Ans 2

Answer 2

∠C + ∠B = 180° (Given that it is a parallelogram)

∠C : ∠B = 1 : 3

Total parts = 4
4 parts = 180
1 part = 45°

∠c = 45°
∠ b = 45 x 3 = 135°

∠a = ∠c (Diagonally opposite angles in a parallelogram)
∠a = 45°

∠d = ∠b (Diagonally opposite angles in a parallelogram)
∠d = 135°

Answer: ∠a = 45°, ∠b= 135°, ∠c = 45°, ∠d = 135°