Answer:
x = 17
Step-by-step explanation:
Line l and m are two parallel lines cut across by the transversal line, therefore, the angle measuring 53° and (8x - 9)° are interior angles on the same side. Interior angles on the same side are supplementary.
Therefore:
53° + (8x - 9)° = 180°
Solve for x
53 + 8x - 9 = 180
Collect like terms
53 - 9 + 8x = 180
44 + 8x = 180
Subtract 44 from both sides
44 + 8x - 44 = 180 - 44
8x = 136
Divide both sides by 8
8x/8 = 136/8
x = 17
Because there are 4 inside angles the sum of the four angles must equal 360 degrees.
Add the angles to equal 360:
4x + 3x + 2x + 3x = 360
Simplify:
12x = 360
Solve for x by dividing both sides by 12:
x = 360 /12
x = 30
Now you have x, solve for each angle:
ABC = 4x = 4 x 30 = 120 degrees.
BCD = 3x = 3 x 30 = 90 degrees.
CDA = 2x = 2x 30 = 60 degrees.
DAB = 3x = 3 x 30 = 90 degrees.
C. It's important to know that a four sides figure needs the inside angles when added together need to equal 360 degrees.
Answer:
WX = 9
Step-by-step explanation:
WY is the entire line - this tells you that the length of the entire line is 11.
XY is a section of the line, and WX is the section you need to find the length for. Since it is given that XY is of length 2, we can find the length of WX by subtracting the length of XY from WY.
11 (WY) - 2 (XY) = 9.
Answer:
she had lots of paint
Step-by-step explanation:
ur welcome boo
