Question

Math question angle measures

Answer 1

angle 1 = 129 degrees

angle 2 = 51 degrees

angle 3 = 129 degrees

Explanation:

since angle 2 and 4 are vertical angles, they will have the same value (51). I took angle 2 and 1, and since those angles lie on a straight line, they equal 180 degrees. so I subtracted 180-51, and got 129, giving you the measurement of angle 1 and 3, since 1 and 3 are vertical angles. remember that vertical angles are always equal :)

Answer 2

Step-by-step explanation: To start things off, let's find the m<2.

Notice that <4 and <2 are vertical angles since they share

a common endpoint and their sides form opposite rays.

Vertical angles are always congruent so we know that the m<4 = m<2.

Since the m<4 = 51, the m<2 must also be 51.

Now, notice that <1 and <2 form a straight angle

which always adds to 180 degrees.

So we have the equation 51 + x = 180.

Solving from here, we find that x = 129.

So the m<1 = 129.

Since <1 and <3 are again vertical, we know that m<3 = 129.