Question

Find the measure of angle 1 in the triangle below.

Answer 1

52 degrees

Explanation:

Ok, let's first remember the total amount of degrees in a triangle: 180

You can think of it like this (lowercase a stands for angle): aA + aB + aC = 180

Now, let's see what angles we have:

Well, for one we have a 90 degree angle

How do we know?

That box in the angle (the top right one) means '90 degrees'

This can be 'A'

Now, for 'B':

This one is pretty easy, we already have it listed out!

'B' is 38 degrees

We can just say that our angle '1' is angle 'C'

Ok, now going back to our formula, while plugging in our values:

A + B + C = 180

90 + 38 + C = 180

128 + C = 180

(Subtract 128 from both sides, whatever you do to one side, do to the other. always)

C = 52

Thus, our angle '1' is 52 degrees