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4 years ago

Help please number 22

Mathematics

1 answer:

vivado [14]4 years ago

4 0

Given:

When the measure of ∠4 is 120°, the measure of ∠1 is 60°.

To determine:

The statement is always or sometimes true.

Solution:

If two lines are intersecting, then 4 angles are formed.

Sum of the measure of adjacent angles in a straight line is always 180°.

Let us substitute ∠4 = 120° and find ∠1.

m∠1 + m∠4 = 180°

m∠1 + 120° = 180°

Subtract 120° from both sides.

m∠1 + 120° - 120° = 180° - 120°

m∠1 = 60°

Therefore when the measure of ∠4 is 120°, the measure of ∠1 is 60°.

This statement is always true.

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