Question

Parallel lines A and B are cut by a

transversal line M, as shown in the
diagram.

The measure of ⦣2 is less than the
the measure of ⦣4.

For each comparison, select the symbol
that makes the relationship between the
first quantity and the second quantity true.

Answer 1

>

=

Explanation:

Angle 1 is clearly obtuse and angle 6 is clearly acute

Proof:

• Angle 3 and 1 are supplementary because assumed from diagram
• Angle 2 and 3 are congruent by vertical angles
• Angle 1 and 4 are congruent by vertical angles
• By process of substitution angle 3 < angle 1
• Angle 3 and 6 are congruent because they are alt int
• Angle 6 < angle 1

Angle 3 and 5 are supplementary because they are corresponding interior angles

Angle 7 and 8 are supplementary because assumed from diagram