Given: lines l and m are parallel, and line t is a transversal.
angle pair result/justification
1 and 2 are equal (vertical angles)
6 and 8 are equal (corresponding angles)
1 and 4 are equal (alternate exterior angles)
4 and 8 are supplementary angles (i.e. add up to 180 degrees, a straight angle)
Note:
alternate angles are on opposite sides of the transversal, and each attached to a different (parallel) line.
If they are both enclosed by the parallel lines, they are alternate interior angles (examples: angles 2 and 3, 6 and 7)
If they are both outside of the two parallel lines, they are alternate exterior angles (examples: angles 1 and 4, 5 and 8)
Okay, all we need to do is divide 8 from both sides:
-104/8=-13
So x=-13
:D
Answer:
x = -8 and BDC is 68 degrees.
Step-by-step explanation:
Combine -7x+12 and -8x+48 to get -15x+60. Since BDA is a straight angle put the above equation to get -15x+60=180. Subtract 60 from both sides to get -15x=120. Divide -15 both sides to get -8 as your x value. Plug in -8 to BDC, since both negatives are being multiplied, it would turn to a positive number which is 56, add 12 to get 68 as your final result for BDC.
Using the law of cosine for Triangle KJL, we can write:
Using the values of k,j and l, we can write:
Rounding to nearest integer, the measure of angle J will be 48 degrees.
So option B gives the correct answer
Answer: Can you translate for me? I don't know spanish.
Step-by-step explanation:
:)
