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From the diagram above, which of the following is true?

Mathematics
WAEC 1997

From the diagram above, which of the following is true?

  • A. a +b + x =180
  • B. a = b + x
  • C. a – b = 180 - x
  • D. a + b = x + 180
  • E. a – b = x - 180.
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Correct Answer: Option D
Explanation

From the diagram, the angles in the triangle are:

(180 - a)°, (180 - b)° and x°.

\(\therefore\) (180 - a) + (180 - b) + x = 180°

360 + x - a - b = 180°

360 - 180 + x = a + b

180 + x = a + b.


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