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Find the value of the missing angle.
Mathematics
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Step-by-step solution
4 stepsIdentify the parallel lines and the angles.
The horizontal lines are parallel. We have a zigzag transversal intersecting these parallel lines.
The angles given are , , and .Apply the "angles pointing left = angles pointing right" rule (also known as the "M" rule or zigzag rule).
This rule states that for a zigzag line between two parallel lines, the sum of the angles pointing in one direction is equal to the sum of the angles pointing in the opposite direction.
- Angles pointing to the right: and .
- Angles pointing to the left: .
Set up the equation based on the rule.
Solve for .
The value of is:
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