Question

Show how you get each answer:
What is the measurement of ∠1 if 𝑔𝑔 ∥ ℎ?
What is the measurement of ∠3 if 𝑔𝑔 ∥ ℎ?

Answer 1

You should apply the consecutive exterior angles theorem here. If two parallel lines (as defined by g || h) are crossed by a transversal (line t) then the consecutive exterior angles are supplementary (add up to 180 degrees).

So in this example.

Angle a and g would add up to 180 degrees.

Answer 2

Since these are both undefined, you need to look a bit further to solve. We can see that there is an angle defined as 82 degrees, elsewhere on the graph. We can refer back to our theorems to see which angle this might correspond to.

You can use the alternate exterior angle theorem to equate angle 3 in your HW graph to angle 4. From there you could write the equation.

Angle 3 + 82 = 180.

Answer 3

so just an other idea

use the alternate interior angles theorem

Answer 4

^yes, as jhonyy said, the alternate interior angles theorem would equate the angle who has 82 degrees to angle 1.

Answer 5

do you know the alternate interior or exterior angles theorem ?