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zimovet [89]
3 years ago
15

If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what criterion?

Mathematics
1 answer:
Fynjy0 [20]3 years ago
7 0
Yes, they are similar. The definition of similar triangles is two triangles that have congruent angles. All angles of a triangle must add up to 180. So, if you take the angles that you already have and add them up (17 plus 17 = 34), Then there is only one option of what the last angle is. To find the last angle you take 180 and subtract 34 which would give you 146.
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Step-by-step explanation:

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We look at the top, and the bottom of the figure.

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Looking on the base of y, we can see that the top can be divided into a part which is x(same as the bottom), and another of 14, measuring 42. So

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Now we apply the same logic to find y.

We look at the left side, and the right side.

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