Exercise 9.4 ines 1. Below is a diagram of a transversal crossing two parallel lines alternate angles to name all the angles thatare equal to HB, (b) What angles are equal to BQN? (a) Use your knowledge of vertically opposite angles and o 2. In the figure, AB ED. Calculate Hint: Draw a line through C par- allel to BA.) 3. In the figure, if BAI/I ED and BC /I EF, is ABC DEF? 248 Solution 1) (a) Vertically opposite angles are equal. Also Aletrnate angles are equal. In the diagram HBR = SBQ, Since they are vertically opposite angles. SBQ = BQC, Since they are alternate angles, and BQC = TQN, Since they are vertically opposite angles. Therefore HBR = SBQ = BQC = TQN (b) BQN = CQT, Since they are vertically opposite angles. BQN = RBQ, Since they are alternate angles, and RBQ = HBS, Since they are vertically opposite angles. Therefore BQN = CQT = RBQ = HBS.

1. Exercise 9.4 ines 1. Below is a diagram of a transversal crossing two parallel lines alternate
angles to name all the angles thatare equal to HB, (b) What angles are equal to BQN? (a) Use
your knowledge of vertically opposite angles and o 2. In the figure, AB ED. Calculate Hint:
Draw a line through C par- allel to BA.) 3. In the figure, if BAI/I ED and BC /I EF, is ABC
DEF? 248
Solution
1) (a) Vertically opposite angles are equal. Also Aletrnate angles are equal.
In the diagram HBR = SBQ, Since they are vertically opposite angles.
SBQ = BQC, Since they are alternate angles, and
BQC = TQN, Since they are vertically opposite angles.
Therefore HBR = SBQ = BQC = TQN
(b) BQN = CQT, Since they are vertically opposite angles.
BQN = RBQ, Since they are alternate angles, and
RBQ = HBS, Since they are vertically opposite angles.
Therefore BQN = CQT = RBQ = HBS