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My name is Ann [436]
3 years ago
14

Given MN is an angle bisector of ∠JMK Prove: M∠JMN = 1/2 M∠JMK FOR BRAINLIEST

Mathematics
1 answer:
blagie [28]3 years ago
3 0

An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.

If MN is angle bisector, then

m∠JMN=m∠NMK.

The two smaller angles are adjacent angles, then

m∠JMK=m∠JMN+m∠NMK=2m∠JMN.

Divide this equality by 2:

m\angle JMN=\dfrac{1}{2}m\angle JMK.

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