Math question angle measures

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.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

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step-by-step explanation: