Question

In the figure m ll n and p is a transversal. What is the value of x:- In the figure m ll n and p is a transversal. What is the value of x:-



Answer 1

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

∘

and ∠2=6x−15=6(10)−15=45

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