Question

i need the brainliest answer with explanation....

Answer 1

<NQB=70 &<MRQ=110
4.<MPA=2*<PQD+24
<MPA+<APQ=180
2<PQD+24+<APQ=180
we know
<APQ=<MQD
Then
2<APQ+<APQ=180-24=156
<APQ=52=<MQD
So,
<MQD+<DQN=180
& hence
<DQN=180-52=128
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if it is helpful then mark it as brainliest answer

Answer 2

Q2

RPC + MPN + QPD = 180. ........(linear pair)
2RPC = 180-40
RPC= 140/2

RPC = QPD = 70. ..........(given, RPC=QPD)

RQP = QPD = 70. ..........(alternate angles)
PRQ = RPC = 70. .........(alternate angles)

NQB = RQP =70. .........(vertically opposite angles)

NQB = 70. ..........(1)


RQP + MRQ = 180. ......(linear pair)

70 + MRQ = 180

MRQ = 110. ...........(2)

HOPE IT HELPS YOU.