Question

The angles are adjacent and form an angle of ${140}^{\circ }$ . The smaller is $28$ ${}^{\circ }$ less than the larger.

• A. $34$ and $56$.
• B. $84$ and $66$.
• C. $44$ and $56$.
• D. $84$ and $56$.

Answer 1

The correct option is D $84$ and $56$.

The two adjacent angles add up to 140140 .

Therefore the sum of the two should give $140$.

Let the larger be $x$ then the smaller is $x-28$

$x+x-28=140$

$2x-28=140$

$2x=140+28=168$

$2x=168$ (divide both sides by two)

$x=84$ (the larger angle)

$84-28=56$ (the smaller angle)

The two angles are $84$ and $56$.