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Drag and drop an answer to each box to correctly complete the proof.

Given: m∥nm∥n , m∠1=50∘m∠1=50∘ , and m∠2=42∘m∠2=42∘ .

Prove: m∠5=92∘

Drag and drop an answer to each box to correctly complete the proof. Given: m∥nm∥n-example-1
Drag and drop an answer to each box to correctly complete the proof. Given: m∥nm∥n-example-1
Drag and drop an answer to each box to correctly complete the proof. Given: m∥nm∥n-example-2

2 Answers

5 votes

Answer:

Dear future people..... The answers are

1. Triangle Sum Theorem

2. Corresponding

3. Linear Pair Postulate

4. Subtraction Property of Equality


User MSadura
by
8.8k points
3 votes

Answer:

Triangle sum theorem; corresponding; linear pair postulate; subtraction property of equality.

Explanation:

The triangle sum theorem states that the sum of measures of the angles of a triangle is always 180°. Since we have two of the angles, 50 and 42, we know that

m∠3 = 180-(50+42) = 180-(92) = 88

∠3 and ∠4 are corresponding angles; this means they are on the same side of the transversal and on the same side of their corresponding parallel line. Corresponding angles are congruent, so this means that ∠3≅∠4, which means that the measures of these two angles is equal.

The linear pair postulate states that if two angles form a linear pair, the sum of their measures is 180°.

To cancel the 88° in the last statement, we subtract it from each side; the subtraction property of equality is what allows this.

User Nikita Kraev
by
8.1k points
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