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Pls help!! given: angles 1 and 2 are a linear pair prove that x=11

Pls help!! given: angles 1 and 2 are a linear pair prove that x=11-example-1
User Sjharrison
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2 Answers

25 votes
25 votes

Proof that x = 11

Given: Angles 1 and 2 are a linear pair.

To prove: x = 11

Proof:

Linear angles are supplementary, meaning their sum is 180 degrees.

Therefore, the sum of angles 1 and 2 is 180 degrees.

We are given that the measure of angle 1 is 11x - 6 degrees.

We are given that the measure of angle 2 is 4x + 21 degrees.

Substituting these values into the equation above, we get:

11x - 6 + 4x + 21 = 180

Combining like terms, we get:

15x + 15 = 180

Subtracting 15 from both sides, we get:

15x = 165

Dividing both sides by 15, we get:

x = 11

Therefore, we have proven that x = 11.

User Victor Henriquez
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12 votes
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Explanation:

2. Given: Angles 1 and 2 are a linear pair. Prove that x = 11 ma m = 11x-6 m2 = 4x+21 Statements Reasons 1) Angles 1 and 2 are a linear pair. 1) Given 2) Angles 1 and 2 are 2) Linear Pair Postulate supplementary 3) mZ1 + m2 = 180° 3) 4) 11x - 6 + 4x + 21 = 180 4) 5) 15x + 15 = 180 5) 6) 15x = 165 6) 7) x = 11 7)

I am not sure about my answer i dont want u to get wrong this is all i know i hope it was helpful

User Oren Shemesh
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