Question

Given: The figure with \(\angle 1\) and \(\angle 3\) supplementary Prove: \(\angle 1 \cong \angle 2\) Proof: Statements Reasons 1. \(\angle 2\) and \(\angle 3\) are linear pair 1. Def. of linear pair 2. \(\angle 2\) and \(\angle 3\) are supplementary 2. _______ 3. \(\angle 1\) and \(\angle 3\) are supplementary 3. _ 4. \(\angle 3 \cong \angle 3\) 4. _ 5. \(\angle 1 \cong \angle 2\) 5. _______ 2, 3, 4

          Given:
The figure with \(\angle 1\) and \(\angle 3\) supplementary
Prove:
\(\angle 1 \cong \angle 2\)
Proof:
Statements
Reasons
1. \(\angle 2\) and \(\angle 3\) are linear pair
1. Def. of linear pair
2. \(\angle 2\) and \(\angle 3\) are supplementary
2. _______________
3. \(\angle 1\) and \(\angle 3\) are supplementary
3. _______________
4. \(\angle 3 \cong \angle 3\)
4. _______________
5. \(\angle 1 \cong \angle 2\)
5. _______________ 2, 3, 4

Given:
The figure with ∠ 1 and ∠ 3 supplementary
Prove:
∠ 1 ≅∠ 2
Proof:
Statements
Reasons
1. ∠ 2 and ∠ 3 are linear pair
1. Def. of linear pair
2. ∠ 2 and ∠ 3 are supplementary
2.
3. ∠ 1 and ∠ 3 are supplementary
3.
4. ∠ 3 ≅∠ 3
4.
5. ∠ 1 ≅∠ 2
5. 2, 3, 4

Added by Craig W.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Eric Carlsen

Step 1

Given: L2 and L3 are a linear pair. Definition of a linear pair states that two adjacent angles form a straight line and add up to 180 degrees. Show more…

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Given the figure with Z1 and Z3 supplementary. Prove L1 = 4L2. Proof Statements Reasons 1. L2 and L3 are a linear pair 1. Definition of a linear pair 2. Z2 and L3 are supplementary 2. Given 3. Z1 and Z3 are supplementary 3. Given 4. Z3 = L3 4. Definition of congruent angles 5. Z1 = Z2 5. Transitive property of equality