On the bottom line, the 106 and number 1 make a straight line and needs to equal 180 degrees.
This means number 1 = 180-106 = 74 degrees.
Because x and y are parallel, the top outside angle is the same as number 1.
6x +8 = 74
Subtract 8 from both sides:
6x = 66
divide both sides by 6:
x = 66 / 6
x = 11
Now you have x, replace x in the equation for 7x-2 to find that angle:
7(11) -2 = 77-2 = 75 degrees.
The three inside angles need to equal 180 degrees.
Angle 2 = 180 - 74 - 75 = 31 degrees.
Answer:
x=70°
y=30°
z=20°
Step-by-step explanation:
You first need to find y, which would be 30 because the sum of the first two angles is 150, and a triangle has 180 degrees, so 180-150=30.
By finding y, we can now find a, because if you take the entire triangle, y+z must equal 50. So, z=20 because 30+z=50.
And finally, we can find x to be 70 since the sum of the two other angles is 110 and 180-110=70.
Answer:
15 feet by 12 feet or 10 feet by 18 feet
Step-by-step explanation:
