Question

A conjecture and the flowchart proof used to prove the conjecture are shown.

Drag an expression or phrase to each box to complete the proof

Answer 1

Here are the answers below that I got. Hope this helps mate. Cheers.

Answer 2

As mention in the explanation steps.

Explanation:

The following expression or phrase to each box are helpful to complete the proof.

(1). We say that ∠ACB and ∠BCD are supplementary, from linear pair of postulate.

(2). ∠ACB + ∠BCD =180°, because ∠ACB and ∠BCD are supplementary (from the difinition of supplementary angles).

(3). ∠ACB +45° = 180° because ∠BCD =45°(substitute).

(4).Subtraction properties of equality ( because we subtract 45 degree from both sides of the previous equation).

(5). ∠ABC is obtuse, because m∠ABC grater than 90°.

(6). From the definition of obtuse triangle (ΔACB is an obtuse triangle because ∠ACB =135 degree which is grater than 90 degree).