Question

abc is a triangle in which angle b = 2 angle c . d is a point on side bc such that ad bisects angle bac and ab =bc prove that angle bad =22 1/2 degree​

Answer 1

Answer:

tringle ABD & ACD

AB=AC (GIVEN)

ANGLE ADB=ANGLE ADC(BOTH ARE RIGHT ANGLES)

AD=AD(COMMON)

SO BOTH THE TRIANGLES ARE CONGRUENT

THEREFORE BD=CD(CPCT)

ANGLE BAD=ANGLE CAD(CPCT)

HENCE AD BISECTS BOTH BC AND ANGLE A