Question

The measure of the angles of triangle ABC are given by the expressions in the table.

angle-measure
A-48 degrees
B-(6x-28)degrees
C- (2x) degrees
find the value of x. then find the measures of angles B and C.
enter your answers in the boxes.

x=

m
m

Answer 1

So you make an equation for this triangle. This equation is:

48 + (6x - 28) + 2x = 180

You then combine like terms:
48 - 28 = 20
6x + 2x = 8x
So now your equation should look like this:

20 + 8x = 180

Now subtract 20 from both sides:
20 - 20 + 8x = 180 - 20.

This becomes:
8x = 160.

Then divide 8 from both side which gives you 20.

Now check your answer. Look at the photo for reference. Bye Hope this helped