VII. In the figure given below '1' is parllel to line m and t is a transversel if angle 5 =70° find the measure of each of the angle 1,3,8give reasons
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∴ ∠1 = 70°, ∠3 = 70°, ∠4 = 110° and ∠8 = 110°
Step-by-step explanation:
Two parallel lines l and m be cut by a transversal t, forming angles.
It is given that ∠5 = 70°. Now, ∠5 = ∠3 = 70° … [∵ alternate interior angles] ∠5 + ∠8 = 180° … [∵ linear pair]
70° + ∠8 = 180°
∠8 = 180° – 70
∠8 = 110°
∠1 = ∠3= 70° … [∵ vertically opposite angles]
∠3 + ∠4 = 180° … [∵ linear pair]
70 + ∠4 = 180°
∠4 = 180° – 70°
∠4 = 110°
∴ ∠1 = 70°, ∠3 = 70°, ∠4 = 110° and ∠8 = 110°
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