Question

2. In the following figure m || n and / is a transversal. Then find the measures of all angles
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Answer 1

Answer:

From figure,

∠2=∠3 ------corresponding angles

∠3=∠1 ------ vertically opposite angles

∴∠1=∠2

Given, ∠1=4x+5 and ∠2=6x−15

⟹4x+5=6x−15

6x−4x=15+5

2x=20

⟹x=10

∴∠1=4x+5=4(10)+5=45

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and ∠2=6x−15=6(10)−15=45

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