2. Determine which of the following angle measures are correct. Select two that apply.
60°

Answer

B) mJAB = 115°

D) mCBA = 55°

Explanation

You know that C A J are points that are collinear, therefore,

180 - (11x - 6) = angle CAB

Which is:

186 - 11x

Use the fact that angles in a triangle add up to 180.

180 = 60 + 4x + 11 + 186 - 11x

180 = 257 - 7x

180 - 257 = - 7x

-77 = -7x

x = 11

Now you know that x = 11 and angle CAB is 186 - 11x simply substitute

186 - (11 x 11) = 65°

So angle CAB is 65° (No option in your multiple choice answers fits this)

Now try to find the value for angle CBA, substitute x = 11 into 4x + 11

4x11 + 11 = 55° (that’s option D where mCBA = 55°

Now try to find the value of angle JAB, you know x = 11 and it’s value is 11x - 6

11 x 11 - 6 = 115° (this is option b)