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Maths-

General

Easy

Question

A piece of paper is folded randomly as shown in the figure.
Find the value of x + y.

$5^{\circ}$
$45^{\circ}$
$40^{\circ}$
$35^{\circ}$

The correct answer is: $45 to the power of ring operator$

SOLUTION:
HINT: Use the property of parallel lines angle rules.
Complete step by step solution:
Here we have 2 parallel lines and a transversal intersect these parallel lines.
Now we have $left parenthesis 2 x plus 30 right parenthesis to the power of ring operator equals 40 to the power of ring operator$ (vertically opposite angles)
$not stretchy rightwards double arrow left parenthesis 2 x right parenthesis to the power of ring operator equals 40 to the power of ring operator minus 30 to the power of ring operator$
$not stretchy rightwards double arrow left parenthesis 2 x right parenthesis to the power of ring operator equals 10 to the power of ring operator$
$not stretchy rightwards double arrow straight angle x equals 5 to the power of ring operator$
Now, $straight angle y equals 40 to the power of ring operator$ (corresponding angles)
To find, $straight angle x plus straight angle y$
$not stretchy rightwards double arrow straight angle x plus straight angle y equals 5 to the power of ring operator plus 40 to the power of ring operator$
$not stretchy rightwards double arrow straight angle x plus straight angle y equals 45 to the power of ring operator$
Hence option B is the correct answer.

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