# How do you prove corresponding angles are equal?

##### 1 Answer
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources
preview
?

#### Answer

Write a one sentence answer...

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

19
mason m Share
Dec 24, 2015

Suppose you have two parallel lines cut by a transversal.

Due to the straight angle (linear pair) theorem, we know that

{(mangle2+mangle3=180˚),(mangle5+mangle6=180˚):}

Thought the transitive property, we can say that

$m \angle 2 + m \angle 3 = m \angle 5 + m \angle 6 \textcolor{w h i t e}{\times \times}$ (1)

Though the alternate interior angles theorem, we know that

$m \angle 3 = m \angle 5$

Use substitution in (1):

$m \angle 2 + m \angle 3 = m \angle 3 + m \angle 6$

Subtract $m \angle 3$ from both sides of the equation

$m \angle 2 = m \angle 6$

$\therefore \angle 2 \cong \angle 6$

Thus $\angle 2$ and $\angle 6$ are corresponding angles and have proven to be congruent.

Was this helpful? Let the contributor know!
##### Just asked! See more
• 9 minutes ago
• 11 minutes ago
• 14 minutes ago
• 16 minutes ago
• 19 seconds ago
• 3 minutes ago
• 3 minutes ago
• 5 minutes ago
• 6 minutes ago
• 8 minutes ago
• 9 minutes ago
• 11 minutes ago
• 14 minutes ago
• 16 minutes ago