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Maths-

General

Easy

Question

Find the value of k.

The correct answer is: Hence the value of k=40°

SOLUTION:
HINT: Use the property of parallel lines angle rules.
Complete step by step solution:
Here we have 2 parallel lines mand land a transversal intersects these parallel
lines.
Now we have $70 to the power of ring operator equals straight angle A$ (vertically opposite angles)
Here, $straight angle A text and end text left parenthesis k plus 70 right parenthesis to the power of ring operator$ forms co-interior angles and they add up to $180 to the power of ring operator$
$not stretchy rightwards double arrow straight angle A plus left parenthesis k plus 70 right parenthesis to the power of ring operator equals 180 to the power of ring operator$
$not stretchy rightwards double arrow 70 plus left parenthesis k plus 70 right parenthesis to the power of ring operator equals 180 to the power of ring operator$
$not stretchy rightwards double arrow left parenthesis k plus 70 right parenthesis to the power of ring operator equals 180 to the power of ring operator minus 70 to the power of ring operator$
$not stretchy rightwards double arrow left parenthesis k plus 70 right parenthesis to the power of ring operator equals 110 to the power of ring operator$
$not stretchy rightwards double arrow k equals 40 to the power of ring operator$
Hence the value of $k equals 40 to the power of ring operator$

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