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.