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Carmen found m∠1 this way:

Measure of angle 1 = 105 degrees because if two lines are parallel, alternate exterior angles are equal.

Is her answer correct? Explain why or why not.
Parallel lines r and s are crossed by transversal t to form 8 angles. Clockwise from top left, the angles formed with line r are blank, 1, blank, blank; with line s are blank, blank, 105 degrees, 3.

Respuesta :

Answer:

She is not correct because ∠1 is an alternate exterior angle with ∠3, not the angle that measures 105°. So m∠1 = 75°.

Explanation:

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abidemiokin

The measure of m<1 is 75 degrees showing that Carmen is incorrect.

Line geometry and angles

The measure of <3 and 105 degrees are supplementary hence;

m<3 + m<105 = 180

m<3 = 180 - 105

m<3 = 75 degrees

From the diagram the two lines are parallel to each other, hence m<1 = m<3 (alternate exterior angle)

Hence the measure of m<1 is 75 degrees showing that Carmen is incorrect.

Learn more on lines and angles here: https://brainly.com/question/25770607

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