Question

6.) Prove that
i)∆ABC is congruent to ∆ADC
ii) angle B = angle D​

Answer 1

Answer:

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Answer 2

Answer:

AD is parallel to BC and AC is the transverse

<DAC=<BCA

<BAC=<DCA[alternative angles]

In ∆ABC and ∆ADC,

1. <DAC=<BCA
2. <BAC=<DCA
3. AC is the common arm

by A-S-A rule of congruency, both the triangles are congruent to eachother

As they are congruent, angle B=angle D