Question

Two supporting reasons are missing from the proof. Complete the proof by dragging and dropping the appropriate reasons into each of the empty boxes.
Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Given: m∥nm∠1=120°

Prove: m∠6=60°

The figure shows what appear to be parallel lines n and m rising from left to right with line m above line n. Line p rises slightly from left to right first intersecting line n, then line m. The angles formed by the intersection of lines p and m are numbered from 1 through 4 in a clockwise direction starting with angle 1 which is located above line m and to the left of line p. The angles formed by the intersection of lines p and n are numbered 5 through 8 in a clockwise direction with angle 5 above line n and to the left of line p.

Statements Reasons
​m∥nm∠1=120°
​ Given
∠5≅∠1
Press enter key to drop response here.Response input area
m∠5=m∠1
Angle Congruence Postulate
m∠5=120°
Substitution Property of Equality
m∠6+m∠5=180°
Press enter key to drop response here.Response input area
m∠6+120°=180°
Substitution Property of Equality
m∠6=60°
​ Subtraction Property of Equality

Answer 1

First blank: If two parallel lines are cut by a transversal, corresponding angles are congruent. (Corresponding Angles Postulate)

Second blank: Linear Pair Postulate (If two angles form a linear pair, they are supplementary.)