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Maths-

General

Easy

Question

Which of the given statements is correct?

$m ∠ A + m ∠ B = 90^{\circ}$
m∠A > m∠B
m∠A ≅ m∠B
m∠A ≠ m∠B

The correct answer is: m∠A ≅ m∠B

SOLUTION:
HINT: Use the property of parallel lines angle rules.
Complete step by step solution:
Here we have 2 parallel lines and a transversal intersects these parallel lines.
By supplementary angles property,
Now, $180 to the power of ring operator minus straight angle A text and end text 180 to the power of ring operator minus straight angle B$ form alternate interior angles.
We know that, alternate angles inside the parallel lines are equal.
Thus, by supplementary angles property
we get $straight angle A equals straight angle B$
Hence option C is the correct answer.

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