Maths-
General
Easy
Question
In figure, if
and y : z = 3 : 7, x = ?

.
The correct answer is:
.
Three parallel lines are commonly intersected by a single line and angles are formed at each intersection point namely x,y,z
and y:z=3:7 we should find x
In the given figure, AB∥CD
Let y=3a and z=7a
∠DHI=y
∠DHI+∠FIH=180
⇒y+z=180
⇒3a+7a=180
⇒10a=180 or a=18
∴y=3×18=54 and z=7×18=126
Also,x+y=180
⇒x+54=180
∴x=180−54=126
Hence,x=126
Hence x=126 choice 4 is correct
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