Mathematics

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

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.
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.