Question

the following figure ab is equal to AC and angle BAC is equal to CAD the question is
(A) is angle ABD congruent to angle ACD ?give reason ???​

Answer 1

Answer:

yes angle ABD is congruent to angle ACD

Step-by-step explanation:

Consider triangle ABD and ADC

ANGLE ABD=ANGLE ACD(opposite angles of equal sides)

AD = AD( COMMON SIDE)

ANGLE BDA = ANGLE CDA ( EXTERNAL ANGLE PROPERTY)

therefore triangleABD is congruent to triangle CDA by ASA criterion

therefore ANGLE BAD = ANGLE CAD( CONGRUENT PARTS OF CONGRUENT TRIANGLE)