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)

Hello!

the answer is:

the answer is:

why?

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!