Answer:
30 degrees
Step-by-step explanation:
The angles must add up to 180 degrees and the triangles have the same angles.
Answer:
Step-by-step explanation:
Notice that 
.
The diagram already marks 
, so we just need to find 
.
and 
are vertical angles, which means they are equal in measure.
Therefore,
Since there are 
on each side of a line, we have the following equation:
.
Plugging in 
, we have:
.
Therefore,
.
Answer:
1/7
Step-by-step explanation:
Answer:
Length is 20 meters and Width is 16 meters
Step-by-step explanation:
A parallelogram is a 4-sided figure with 2 pair of parallel sides.
The perimeter is the sum of all 4 sides of the parallelogram.
Let the length of parallelogram be x and width be y.
The perimeter is 72, thus we can write:
x + x + y + y = 72
or
2x + 2y = 72
Also, width is 4 less than length, thus we can write:
y = x - 4
Now, we replace the 1st equation with the 2nd equation and solve for x first. Shown below:
2x + 2y = 72
2x + 2(x - 4) = 72
2x + 2x - 8 = 72
4x = 72 + 8
4x = 80
x = 80/4 = 20
And now y:
y = x - 4
y = 20 - 4
y = 16
Thus, the Length is 20 meters and Width is 16 meters
