Question

Determine the values of a, b, and c

Answer 1

A:
`55`°
B:
`125`°
C:
`55`°

Explanation:

Geometry properties!

When we look at this photo we see that
`a` and
`b` are on a line, meaning that
`a+b=180`.

But because we don't have enough info yet we can't solve for them.

So let's head over to
`c`.

For
`c` we see that it is also on a line with a right angle, and 35 degrees. This means that:

`c + 90 + 35 = 180`

If we solve for
`c`, we get:

`c=180-90-35= 55`.

Now we see that
`a` makes a vertical angle with
`c`, meaning that angle
`a` is equal to angle
`c`.

So now we know what angle
`a` is:
`55`°

Now we can go back to
`a + b =180`

Since we know
`a =55\\\text{we can get}\\55+b=180\\b=180-55=125`

That's it!

Answer 2

A: 55

B: 125

C: 55

Explanation: