Question

Find the angles which are adjacent and form an angle of 140 degrees. The smaller angle is 28 degrees less than larger angle.

Answer 1

Let the larger angle is x°.
∴, the smaller angle is (x°-28°).
By the given condition,
x°+x°-28°=140°
or, 2x°=140°+28°
or, x°=168°/2
or, x°=84°
∴, the smaller angle is: 84°-28°=56°

Answer 2

The two adjacent angles add up to 140.

Lets say the larger angle is x.
             and the smaller is x-28.

Therefore the sum of the two should give 140.

x + x-28= 140
2x-28= 140
2x=140+28=168
2x=168(divide both sides by two)
x=84 (the larger angle)
84-28= 56 (the smaller angle)

The two angles are  84 and 56.