Question

Two supplementary angles differ by ${34}^o$. Then the angles are __________.

• A. ${74}^o,{107}^o$
• B. ${107}^o,{73}^o$
• C. ${120}^o,{60}^o$
• D. ${72}^o,{108}^o$

Answer 1

The correct option is B ${107}^o,{73}^o$

According to the problem,

Two supplementary angles differ by ${34}^o$

Let two supplementary angles are $x$ and $(180-x)$

As given in the question $x-(180-x)={34}^o$

2x-180+34

2x=180=34

2x=214

x=107

Therefore, the angles are ${107}^0$ and ${73}^0$.