Two line segments intersect at point B as shown.
What is the measure of angle ABC?

Answer:

the answer is b.) 24

Step-by-step explanation:

you would set 3x + 12 and 6x equal because they have the same angle

[tex]3x + 12 = 6x[/tex]

then subtract 12 on both sides

[tex]3x = 6x - 12[/tex]

then subtract 6x from both sides

[tex] - 3x = - 12[/tex]

now just divide by 3 on both sides

[tex]x = 4[/tex]

then add it into the equation 3(4) + 12

The requried measure of angle ABC is 24°. Option B is correct.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
For two intersecting lines alternate angle is always equal.
3x + 12 = 6x
3x = 12
x = 4

Now,
6x = 6(4) = 24°

Thus, the requried measure of angle ABC is 24°. Option B is correct.

Learn more about Angles here:
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