From the diagram above, which of the following is true?
Attached Figure / Diagram
A
a +b + x =180
B
a = b + x
C
a – b = 180 - x
D
a + b = x + 180
E
a – b = x - 180.
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
From the diagram, the angles in the triangle are:
(180 - a)^\circ, (180 - b)^\circ and x^\circ.
\(\therefore\) (180 - a) + (180 - b) + x = 180^\circ
360 + x - a - b = 180^\circ
360 - 180 + x = a + b
180 + x = a + b.
Source: Myschool Past Questions Archive (Record #23876)