Question

Which postulate or theorem justifies this statement:

∠11 + ∠6 = 180° ?


A.) Same-side Interior Angles theorem

B.) Alternate Interior Angles theorem

C.) Vertical Angles theorem

D.) Linear Pair postulate

Answer 1

A) Same-side Interior Angles theorem.

Explanation:

You can tell that Angle 11 and Angle 6 are both on the same side of the line.

they are also not divided by any Other line. 2 angles on the same side of a line not divided by another like = 180

‹11 and ‹6 are also within the lines, not on the outside like ‹14, ‹13, ‹12, ‹5, ‹4, ‹3... They are within so its Interior and not Exterior.

Therefore the answer is A) Same-Side Interior Angles Theorem

Answer 2

C. Linear Pair Theorem

Explanation: