But, these are alternate interior andes
And we know that if the anges of any pair of
interior anges are equal then the lines are parallel
Hence, Illm
EXERCISE 14
1. In the given figure, I//m and t is a transversal
ir 25 = 70%, find the measure of each of the angles
41, 23, 24 and 28. with solution of answer
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Answer:
Question 1:
In the given figure, l || m and t is a transversal.
If ∠5 = 70°, find the measure of each of the angles
∠1, ∠3, ∠4 and ∠8.
ANSWER:
Given: l∥mt is a transversal.∠5 = 70° ∠5 = ∠3 =70° (alternate interior angles)∠5 +∠8 = 180° (linear pair)or 70° + ∠8 = 180°∠8 = 110°∠1 = ∠3 = 70° (vertically opposite angles)∠3 +∠4 = 180° (linear pair)or ∠4 = 180−∠3 = 180 − 70 = 110°
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➡️➡️➡️➡️➡️➡️➡️➡️➡️➡️➡️➡️➡️➡️➡️➡️➡
your answer is 110°
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