MCQ
Two supplementary angles differ by $34^\circ .$ Then the angles are __________.
- A$74^\circ , 107^\circ$
- ✓$107^\circ , 73^\circ $
- C$120^\circ , 60^\circ $
- D$72^\circ , 108^\circ$
✓
Answer
Correct option: B.
$107^\circ , 73^\circ $
Let two supplementary angles are $x$ and $y$
We know, $x + y = 180^\circ ....(1)$
As given in the question $x - y = 34^\circ $
$\Rightarrow x = 34 + y .....(2)$
Putting the value of $x$ in terms of $y$ in the eqn $(1)$
we get $34 + y + y = 180$
$\Rightarrow 2y = 146$
$\Rightarrow y = 73^\circ $ And $x = 34 + y = 34 + 73 = 107^\circ $
Therefore, the angles are $107^\circ $ and $73^\circ $
We know, $x + y = 180^\circ ....(1)$
As given in the question $x - y = 34^\circ $
$\Rightarrow x = 34 + y .....(2)$
Putting the value of $x$ in terms of $y$ in the eqn $(1)$
we get $34 + y + y = 180$
$\Rightarrow 2y = 146$
$\Rightarrow y = 73^\circ $ And $x = 34 + y = 34 + 73 = 107^\circ $
Therefore, the angles are $107^\circ $ and $73^\circ $
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