Find x if l is parallel to m
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The correct answer is x = 33° and y = 10°.
Given: l is parallel to m.
To Find: Value of a and y.
Solution:
Angle 3y + 20° and 5y are corresponding angles.
3y + 20° = 5y
2y = 20°
y = 10°
Angle 3y + 20° and 2x - 16° are vertically opposite angles.
3y + 20° = 2x - 16°
Put the value of angle y in the equation.
3(10) + 20 = 2x - 16
30 + 20 = 2x - 16
50 = 2x - 16
2x = 66
x = 33
Hence, the angles are x = 33° and y = 10°.
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