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Answer:
We have, Sum of adjacent angles is 180°
As the given 2 angles are adjacent to each other.
By adding them and equating them to 180 we'll get the value of x.
3x-10+2x-20=180
5x-30=180
5x=180+30=210
5x=210
x=210/5
x=42
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Step-by-step explanation:
Given -
Figure
To Find -
Value of x
As we know that :-
- The sum of the measures of adjacent angles that form a straight line is equal to 180°
Now,
» 3x - 10° + 2x - 20° = 180°
» 5x = 180° + 30°
» 5x = 210°
» x = 210/5
- » x = 42°
Hence,
The value of x is 42°
Then,
The angles are -
3x - 10° =
» 3(42°) - 10°
» 126° - 10°
- » 116°
And
2x - 20° =
» 2(42°) - 20°
» 84° - 20°
- » 64°
Hence,
The angles are 116° and 64°
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