Question

7. Given / || m, find the value of the unknown angles in each of the following figures m 120° 110 2: (a) (b) (e) 70​

Answer 1

a) y = 110° [vertically opposite angles]

x+y = 180°. [co interior angle, as l || m]

b) 2x+x = 180°. [ co interior angle]

3x = 180

x= 180/3 = 60°

therefore, x= 60, 2x= 120°

c) x= 120°. [ Corresponding angles]

x+y= 180°. [ linear pair]

120+y = 180

y= 180-120

y= 60°

Answer 2

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A.) =>Y= 110° (Vertically Opp. Angles)

=> X= 180°-110°= 70° ( sum of Angles On the same side of transversal is 180°)

B.) => x+2x=180° ( sum of Angles On the same side of transversal is 180°)

=> 3x=180

=> x= 180°÷3

=> x=60°

Therefore, 2x= 160°

120°+60°=180°

c.) x= 120° (Corrosponding Angles are same)

Y= 180°- 120° (Linear Pairs)

Y=60°

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