Respuesta :

Find the amount for the triangle.

First, note that the angle supplement (inside the triangle) with 90° is 90°

Next, note that the angle supplement (inside the triangle) with 133° is 47°

Now, note that a triangle's total angle measurement is 180°

Solve for p: p + 47 + 90 = 180

Simplify:      p + (47 + 90) = 180

                   p + (137) = 180

Isolate the p. Note the equal sign, what you do to one side, you do to the other. Subtract 137 from both sides

                   p + 137 (-137) = 180 (-137)

                   p = 180 - 137

                   p = 43

(C) 43° is your answer

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Check:

43 + 90 + 47 = 180

90 + 90 = 180

180 = 180 (True)

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Astute

All numbers need to round to 180. Therefore, we add both 133 and 90. That's only 123. We know need need a number that can fill this. 133+90+(47)=180.

43+90+47=180

Therefore, 43 is your answer.