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### MEAP Preparation - Grade 7 Mathematics4.19 Angles Made by a Transversal With Two Parallel Lines - II

 Example : In the above figure l//m; n is the transversal. If Ð1 = 110°, find the other angles ? Solution : Given that Ð1 = 110°. Ð1 =Ð5, since Ð1 and Ð5 are corresponding angles. Therefore Ð5 = 110° Ð5 = Ð3, since they are interior alternate angles. Therefore Ð3 = 110°. Ð3 = Ð 7, since they are corresponding angles. Therefore Ð7 = 110°. Ð4 + Ð5 = 180°, since Ð4 and Ð5 are the interior angles those are on the same side of the transversal. But Ð5 = 110° Therefore Ð4 = 180° - 110° = 70°. Ð4 = Ð6, since they are interior alternate angles. Therefore Ð6 = 70°. Ð2 = Ð6, since they are corresponding angles. Therefore Ð2 = 70°. Therefore Ð1 = 110° , Ð2 = 70°, Ð3 = 110°, Ð4 = 70°, Ð5 = 110°, Ð6 =70°, Ð7 = 110° and Ð8 = 70°. Directions:Answer the following questions. Also draw parallel lines with a transversal and show all the angles formed by them and write all the sets of congruent and supplementary angles.>
 Q 1: What is the sum of the measures of angle 2 and angle 7?120 degrees180 degrees150 degrees Q 2: What is the sum of the measures of angle 1 and angle 8?180 degrees160 degrees130 degrees Q 3: What is the sum of the measures of angle 3 and angle 6?180 degrees130 degrees90 degrees Q 4: What is the sum of the measures of angle 4 and angle 5?130 degrees180 degrees170 degrees Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!