In the adjoining figure, | | m and n is a transversal. If angle a = (2x - 8)° and angle b= (3x - 7)° , find the measures of a and b.
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Given:-
- l || m and n is a transversal.
- and
To Find:-
- The Value of a and B
Concept Used:-
- When two lines are Parallel and traversed by a line then sum of two Consecutive angle is equal to 180°. This Property is known co - interior angle Property.
Now,
→
→
→
→
→
→
→
→
Hence, The Value of x is 39.
Putting the Value of x.
→ (2x - 8)° → 2 × 39 - 8 → 70°
→ (3x - 7)° → 3 × 39 - 7→ 110°
Hence, The Value of a and b is 70° and 110° respectively.
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