8. In the given figure, l, m and n are three parallel lines, the lines p and q are also parallel. (i) Find the values of a, b and c in degrees. State the reason for your answer.
ii) prove that the sum of measures of a , b and c forms a right angle.
PLEASE GIVE CORRECT ANSWER
ii) prove that the sum of measures of a , b and c forms a right angle.
PLEASE GIVE CORRECT ANSWER
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Answer:
A triangle ABC.
To prove :
∠A+∠B+∠C=180
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⟹∠1+∠2+∠3=180
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Construction :
Through A, draw a line l parallel to BC.
Proof :
Since l∥BC. Therefore,
∠2=∠4 .......eq(i)
And, ∠3=∠5......eq(ii)
adding eq(i)and(ii)
Therefore, ∠2+∠3=∠4+∠5
∠1+∠2+∠3=∠1+∠4+∠5 [adding∠1bothSide]
∠1+∠2+∠3=180
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Thus, the sum of three angles of a triangle is 180
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