Question

in the figure chords AD and BC intersect each other at right angles at point p if angle DAB is 35° , then find angle ADC

Answer 1

Answer is below

I think it works out

Answer 2

Given:

AD and BC intersect each other at right angle at point p

∠DAB is 35°

To Find

   ∠ADC

Solution:

   ∠BAD = ∠BCD = 35°     ( angles in the same segment)

   ∠APC + ∠CPD = 180°    (linear pair)

    90°    + ∠CPD = 180°     (given p is at 90°)

    ∠CPD = 90°

In ΔCPD,

∠D + ∠P + ∠C = 180°  ( angle sum property)

∠D + 90° + 35° = 180°

∠D = 180° - 125°

∠D = 55°

  ∠ADC = 55°

Therefore, ∠ADC is 55°.