In the figure shown below, AC is parallel to DE with transversal BF
1 answer:
Answer:
<h3>X = 142°</h3><h3>Y = 38° </h3>
<em><u>Given </u></em> <em><u>-</u></em> <em><u> </u></em> AC is parallel to DE
angle 3y + 28 = angle X ( Vertically opposite angles are equal).
3y + 28 = X
X + Y = 180° ( supplementary angles).
3y - X = (-28)
Solving both the equation we get
multiply eq 1 with 3
3x + 3y = 540
-X + 3y = (-28)
subtracting
4x = 568
x = 142°
3y + 28 = 142
3y = 142 - 28
3y = 114
y = 38°
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