Question

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Answer 1

Step-by-step explanation:

Given , angle x = angle w

angle y = angle z

So , angle x + angle y = angle w + angle z

Or , angle BAC = angle DAC ( equation 1 )

Now , in triangle BAC and triangle DAC

AC is common

AB = AD ( given)

angle BAC = angle DAC ( from equation 1 ) Hence,Triangle BAC is congruent to Triangle DAC(BY SAS)

》 angle ACD = angle ACB ( By CPCT )

Or angle ACQ = angle ACP ( equation 2 )

Now , in triangle ACQ and triangle ACP

AC is common

angel y = angle z

angle ACQ = angle ACP ( from equation 2 ) Hence,Triangle ACQ is congruent to Triangle ACP(By ASA)

》 AP = AQ ( By CPCT )

THEREFORE , PROVED .

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Answer 2

Answer:

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