Question

4. In the following figures, a pair of parallel lines are cut by a transversal . Find the
value of x in each figure.
2x+6°
3x + 540
2x + 15
3x + 30°
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Answer 1

Hope this helps........

Answer 2

Answer:

(i)

1. 54°

2. 126°

(ii)

3.69°

4.111°

Step-by-step explanation:

(i) They are co- interior angles so:

2x + 6 + 3x + 54 = 180°

5x = 180- 60

x = 120/5 = 24°

(ii) They are also co-interior angles if Vertically-opposite angle of angle 4 is considered.

2x + 15 + 3x + 30 = 180°

5x + 45 = 180

5x = 180 - 45

5x = 135

x = 135/5 = 27°