Please help me!! 20 points
1 answer:
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Answer:
The angles of a parallelogram are 135°-45°-135°-45°
Step-by-step explanation:
we know that
In a parallelogram opposites angles are congruent and consecutive angles are supplementary
Remember that
The sum of a exterior angle and its interior angle is equal to 180 degrees
Let
x ----> the measure of one interior angle of parallelogram
y ----> the measure of the other interior angle of parallelogram
we have that
solve for x
<em>Find the measure of the other interior angle of parallelogram</em>
Remember that consecutive interior angles are supplementary
substitute the value of x
solve for y
therefore
The angles of a parallelogram are 135°-45°-135°-45°
The length and width of the rectangle are 7.90 inches and 31.6 inches respectively
It is given that,
Let the length of the rectangle = l
Let the width of the rectangle = w
The perimeter of the rectangle = 250 inches
l x w = 250 ....eq 1
Then,
Length is 4 times as big as width
4l = w
We need to find, the length and width of the rectangle
Putting the value of w in eqn 1
We get,
Similarly, we can get,
w = 4l
w = 4 x 7.90
w = 31.6
Hence, the length and width of the rectangle are 7.90 inches and 31.6 inches respectively
To learn more about, perimeter, here
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