Fill in the missing statements or reasons.Given:∠1 ≅ ∠P∠4 ≅ ∠P bisects ∠RVOProve:∠ TVP ≅ ∠...

Given:

∠1 ≅ ∠P

∠4 ≅ ∠P

bisects ∠RVO

Prove:

∠ TVP ≅ ∠ MVP

PROOF

Statements

Reasons

1.

∠1 ≅ ∠ P

1.

Given

2.

?

2.

Given

(1), (2)

3.

?

3.

Transitive Prop. of ≅

(3)

4.

m ∠1 = m ∠ 4

4.

?

5.

bisects ∠RVO

5.

?

6.

?

6.

If a ray bisects an ∠, it forms two ∠ s of equal measure

(4), (6)

7.

?

7.

Addition Prop. of Equality

8.

m ∠ 1 + m ∠ 2 = m ∠ TVP;

m ∠ 4 + m ∠ 3 = m ∠ MVP

8.

?

(7), (8)

9.

m ∠ TVP = m ∠ MVP

9.

?

10.

?

10.

If two ∠ s are = in measure, then they are ≅