Question

Find the value of x in the given figures.​

Answer 1

Answer:

let meeting point of both altitudes be O then angle POA=QOC due to vertically opposite angles

and also angle P=angle Q=90° then both triangle similar by AA test.

so in similar triangles angles are congruent and by congruence of similar triangle we can say that angle PAO=angle QCP =35°

in second figure angle A is 90° then ANGLE FAC=90-50=40°

then in triangle ADC all angles sum is 180° then angle c =180-90-40=180-130=50°