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Maths-

General

Easy

Question

Find the value of x.

The correct answer is: Hence the value of x=60°

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 $left parenthesis x plus 40 right parenthesis to the power of ring operator equals straight angle A$ (vertically opposite angles)
Here, $straight angle A text and end text 80 to the power of ring operator$ and forms co-interior angles and they add up to $180 to the power of ring operator$
$not stretchy rightwards double arrow straight angle A plus 80 to the power of ring operator equals 180 to the power of ring operator$
$not stretchy rightwards double arrow straight angle A equals 180 to the power of ring operator minus 80 to the power of ring operator$
$not stretchy rightwards double arrow straight angle A equals 100 to the power of ring operator$
We know that $left parenthesis x plus 40 right parenthesis to the power of ring operator equals straight angle A$
$text ie, end text left parenthesis x plus 40 right parenthesis to the power of ring operator equals 100 to the power of ring operator$
$not stretchy rightwards double arrow x equals 60 to the power of ring operator$
Hence the value of $x equals 60 to the power of ring operator$

Related Questions to study

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X + 2Y = 4
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X + 3Y = 7
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a) How many classes could members and non members take before they pay the same amount?

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Abby Uses two Social media sites. She has 52 more followers on Site A than on Site B. How many followers does she have on each site ?

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m∠A + m∠B= ?

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m∠A + m∠B =

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