Question

In Fig. 16.205, chords AD and BC intersect each other at right angles at a point P. If ∠DAB=35°, then ∠ADC=
A. 35°
B. 45°
C. 55°
D. 65°

Answer 1

Answer:

C. 55°

Step-by-step explanation:

Consider line BC

90° + ∠APB = 180°         (Linear pair)

⇒ ∠APB = 90°

In ΔAPB,

35° + 90° + ∠ABC = 180°

⇒ ∠ABC = 55°

We know that ∠ABC = ∠ADC

∴ ∠ADC = 55°

Good luck <3