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We are given the measure of angle 4 (44 degrees) in the intersection of two parallel lines with a transverse one.
Notice that angle 4 has the same measure (44 degrees) as angle 8 for being alternate angles among parallels. On the other hand, the addition of angles 8 and 5 should be 180 degrees,
The we can write the following equation:
angle8 + angle5 = 180
44 + angle5 = 180
subtract 44 degrees from both sides:
angle5 = 180 - 44
angle5 = 136 degrees
Notice now, that angles 5 and 7 are opposed by the vertex (also called vertical opposite), so they must measure the same .
That means that:
angle5 = 136 degrees
angle7 = 136 degrees
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Rewritten by : Barada
