if AB ll CD, CD ll EF and Y:Z = 3:7, find X.
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Answer:
X = 126°
Step-by-step explanation:
Given:
AB II CD
CD II EF
It means AB II EF.
Y : Z = 3:7
Let Y : Z be 3x : 7x
(Means Y=3x and Z=7x)
Angle Z = Angle X(alternate interior angle)
=>Angle X = 7x
Angle X + Angle Y = 180°(Sum of Corresponding angles are 180°)
=>7x+3x = 180°
=>10x = 180°
=>x =180°÷ 10
=>x =18°
So Angle X = 7x
=7 × 18°
= 126°
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