6. In A ABC, AB = AC and angle CAD is an exterior angle. If ray AP is the bisector of angle CAD. then prove that AP || BC.​

Question

6. In A ABC, AB = AC and angle CAD is an exterior
angle. If ray AP is the bisector of angle CAD.
then prove that AP || BC.​

in progress 0
Josephine 2 weeks 2021-09-10T19:11:58+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-09-10T19:13:43+00:00

    Step-by-step explanation:

    Since, AE∥BC,

    thus, ∠EAC=∠ACB (Alternate angles)

    Also, ∠DAE=∠EAC (AE bisects ∠ DAC)

    ∠DAC=∠ACB+∠ABC (Exterior angle is equal to sum of interior opposite angles)

    ∠ABC=∠DAC−∠ACB

    or ∠ABC=∠DAC−∠EAC

    ∠ABC=∠DAE=∠EAC=∠ACB

    Now, In △ABC

    Since, ∠ABC=∠ACB

    Hence, AB=AC (Opposite sides of equal opposite angles are equal)

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )