Question

Find X In The Following Figure:

Answer 1

Hey there!

As corresponding angles are equal, the angle corresponding to x+15° also is of the same measure.

Therefore,

(2x+15)+(x+15)=180 [linear pair]
=>2x+15+x+15=180
=>3x+30=180
=>3x=180-30
=>x=150/3 => x = 50

Therefore, x is equal to 50.

Thanks.
Hope it helps.
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Answer 2

We know already that corresponding angles are equal, so the angle corresponding to x+15..........................

so:
(2x+15)+(x+15)=180 are linear pair
so,
=2x+15+x+15=180
=3x+30=180
=3x=180-30
=x=150/3
= x = 50
∴x =50