Kris finds a bag of glass beads on sale for $10.77 and a pattern book on sale for $8.00.
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Answer:
The answer to your question is: the height of the light pole is 15 ft.
Step-by-step explanation:
See the picture below
Now, we can do proportions to finds the height of the light pole
Solve for x
x = 6(20) / 8
x = 120 / 8
x = 15 ft
By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.
This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.
Then:
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are <em><u>same-side interior angles</u></em>. Because AB and DC are <em><u>parallel</u></em>, the same-side interior angles must be <em><u>supplementary</u></em> by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
