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Which postulate or theorem justifies this statement: ∠ 11 + ∠ 10 = 180°

A. Linear Pair postulate

B. Alternate Interior Angles theorem

C. Vertical Angles theorem

D. Same-side Interior Angles theorem

Which postulate or theorem justifies this statement: ∠ 11 + ∠ 10 = 180° A. Linear-example-1
User Xcodr
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1 Answer

5 votes

Answer:

Same-side Interior Angles theorem justifies ∠ 11 + ∠ 10 =180°

Explanation:

To Prove:

∠ 11 + ∠ 10 =180°

Proof:

Consider lines are Parallel,then

Corresponding Angles are Equal

∴ ∠ 10 = ∠ 12 say (equation 1)

Now by Linear Pair postulate we have,

∴ ∠ 11 + ∠ 12 = 180° say (equation 2)

Now by replacing ∠12 by ∠ 10 from equation 1 in equation 2 we get

∴ ∠ 11 + ∠ 10 = 180°

Hence proved the above statement.

User Alex White
by
8.5k points
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