Angles in Parallel Lines

Question 9

Two parallel roads $JK\,$ and $LM\,$ are connected by a path $P N$ , where $P\,$ is a junction on $JK\,$ and $N\,$ is on $L M$ . The angle $∠LNP=110∘\angle LNP = 110^\circ$ . A triangular park $PQR\,$ is adjacent to the path such that the internal angles are $∠PRQ=30∘\angle PRQ = 30^\circ$ and $∠PQR=50∘\angle PQR = 50^\circ$ .

Find the size of angle $x$ , which is the angle $∠QPK\angle QPK$ .

Give a reason for each stage of your working.

[4]

Angles in Parallel Lines

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Question 9

Two parallel roads $JK\,$ and $LM\,$ are connected by a path $P N$ , where $P\,$ is a junction on $JK\,$ and $N\,$ is on $L M$ . The angle $∠LNP=110∘\angle LNP = 110^\circ$ . A triangular park $PQR\,$ is adjacent to the path such that the internal angles are $∠PRQ=30∘\angle PRQ = 30^\circ$ and $∠PQR=50∘\angle PQR = 50^\circ$ .

Find the size of angle $x$ , which is the angle $∠QPK\angle QPK$ .

Give a reason for each stage of your working.

[4]

Angles in Parallel Lines

Question 9

Angles in Parallel Lines Questions

Angles in Parallel Lines

Question 9

Angles in Parallel Lines Questions