The height of a parallelogram is 3 times the base. The base measures 4.5cm. What is the area of the parallelogram?
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Answer:
x = 47
Step-by-step explanation:
Because the lines are parallel, we know that some angles are the same, see the images attached. That means that A and B in the image are the same angles. So we know that angle A totals to 78 degrees. And the angle outside the triangle is 35. So the angle inside the triangle is
78 - 35 = 43.
The interior angles of a triangle add up to 180. We know that one angle is 43 and another angle is 90 because of the indicating square angle marker. That means that
43 + 90 + x = 180.
Then we can simplify the equation:
133 + x = 180⇒
x = 180 - 133⇒
x = 47
