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Answer: < 4 = 90 degrees

Sum of a supplementary angles = 180 degrees

Vertical angles are equal

< 1 and < 2 are supplementary

<1 + < 2 = 180

< 2 and < 4 are vertical angles

Since, vertical angles are equal

Therefore, < 2 = < 4

< 1 = 90 degrees

What the measure of < 4

Since, < 2 = < 4

< 1 + < 4 = 180

< 1 = 90

90 + < 4 = 180

Isolate < 4

< 4 = 180 - 90

< 4 = 90 degrees

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