# Video: Pack 3 β’ Paper 1 β’ Question 3

Pack 3 β’ Paper 1 β’ Question 3

01:42

### Video Transcript

π΄π΅πΆ is parallel to πΉπΊπ». And πΉπ·π΅ is parallel to πΊπΈπΆ. πΊπΈ is equal to πΈπ». Angle πΌπ»π½ is equal to 44 degrees. Work out the size of the angle marked π₯. You must give reasons for your answer.

Angle πΈπ»πΊ is equal to angle πΌπ»π½, as opposite angles are equal. Therefore, angle πΈπ»πΊ is 44 degrees. We were told in the question that πΊπΈ is equal to πΈπ». Therefore, triangle πΊπΈπ» is isosceles.

As the triangle is isosceles, we know that two angles will be equal. In this case, angle πΈπ»πΊ is equal to angle π»πΊπΈ. They are both equal to 44 degrees. Finally, angles π»πΊπΈ and π΅πΆπΈ are also equal. This is because they are alternate angles or π angles.

As π΄π΅πΆ is parallel to πΉπΊπ», we can draw letter π to show that these two angles are equal. Using the angle properties of opposite angles, alternate angles, and the angles in an isosceles triangle, weβve proved that π₯ is equal to 44 degrees.