Write a two-column proof.
Given m<4 =35, m<1= m<2 + m<4.
Prove m<3 = 70

Write A Two-column Proof. Given M&lt;4 =35, M&lt;1= M&lt;2 + M&lt;4. Prove M&lt;3 = 70

Answers

Answer 1

Answer:

given m<4 = 35° and m<1 = m<2 + m<4

prove m<3 = 70°

Statements Reasons

m<4 = 35° given

m<1 = m<2 + m<4 given

m<2 = m<4 by the vertical angles theorem

35° = 35° substitution property of equality

m<2 + m<4 = m<1 angle addition postulate

35° + 35° = 70° substitution property of equality

m<3 = m<1 by the vertical angles theorem

m<3 = 70° substitution property of equality

Answer 2

The two column proof for the given set of angles are:

m∠2 = m∠4 by the vertical angles theorem

m∠3 = m∠1 by the vertical angles theorem

Given data:

The measure of angle

The measure of angle m∠4 =35,

The measure of angle m∠1= m∠2 + m∠4.

Now, Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Therefore, m∠2 = m∠4 by the vertical angles theorem

m∠3 = m∠1 by the vertical angles theorem

35° + 35° = 70° substitution property of equality

Hence, the measure of angle m∠3 = 70°

To learn more about intersecting lines, refer:

https://brainly.com/question/16315358

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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