Question

Pls answer with steps.....​

Answer 1

Given that:-

• ∠PDA = 30°
• ∠CDQ = 70°
• PQ || RS || TU,
• AB || CD.

To Find:

∠BAD & ∠RAD.

___________...

Let us extend CD to M and AB to N, such that CM || AN.

Here,

∠BAD = ∠BAP + ∠PAD

We can observe from the diagram that,

• ∠BAP = ∠DPS = ∠CDQ (Corresponding Angles)
• ∴ ∠BAP = 70°

And,

• ∠PAD = ∠ODA
• ∴ ∠PAD = 30°

So, ∠BAD = 30° + 70° = 100° (Answer 1)

__________...

Also,

∠RAD + ∠PDA = 180° [Since PQ || RS]

→ x + 30° = 180° [Let ∠RAD = x]

→ x = 180° - 30° → x = 150° (Answer 2).