The value of m∠6 = 38°.
What angles are formed when two lines intersect?
When two lines intersect, pair of angles can be of two types.
- Adjacent angles: Angles next to each other. Their sum = 180°.
- Vertical angles: Angles opposite to each other. They are always equal.
How do we solve the given question?
Given lines, L and M are parallel to each other. A transversal is passing through them. Let this be line T.
When line T and M intersects, m∠6 = 38°, as they are vertical angles.
∴ The value of m∠6 = 38°.
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