Question

MEDAL TO CORRECT ANSWER WITH EXPLANATION

Answer 1

If we write down what we know then we get this:

Answer 2

I'm pressing draw but it doesn't work, never mind.

Answer 3

haha okay

Answer 4

45 degrees the angles are supplementary

Answer 5

Okay, so we know that m<7 = 135.
From that, you know the m<5 AND m<3 are both equal to 135 as well, because 5&7 are vertical angles and 5&3 are alternate interior angles.
Then, as plohrr just said, 3&4 are supplementary angles. So, m<3 + m<4 = 180 (or m<4 = 180- m<3)

Answer 6

its easier to say angle 7 is congruent to angle 3, and angle 3 is supplementary to angle 4.

Answer 7

angle 3's measure is 135 just like angle 7. then just subtract 180-135 to get 45.

Answer 8

Take two.

If we write in what we know then we get this (image)

We know that angle 4 is supplementary to the angle of 135. Therefore we can say that angle 8 is 45 degrees.

We can now say that the angle labelled with a question mark is the same as that of 8. This is because the lines A and B are parallel and the line t which they connect to is the same line in each case.

We can therefore say that angle 4 (the question mark one in mine) is 45 degrees.