Practice NAT questions with answers and explanations.
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One complete revolution corresponds to 360 degrees.
Therefore, the central angle of a full circle is 360°.
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A tangent to a circle is perpendicular to the radius drawn to the contact point.
The angle between them is 90°.
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Equal sides in an isosceles triangle face equal angles.
This is the base-angle theorem.
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Corresponding angles between parallel lines are equal.
Therefore, the other angle is also 110°.
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By Pythagoras, c² = 6² + 8² = 100.
Thus, c = 10 cm.
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Alternate interior angles formed by parallel lines are equal.
Thus, the matching angle is 65°.
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For a right triangle, the square of the longest side equals the sum of the other squares.
Here, 5² + 12² = 13².
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Complementary angles sum to 90°.
Thus, 90° - 38° = 52°.
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An exterior angle equals the sum of the two remote interior angles.
It is supplementary to the adjacent interior angle.
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Supplementary angles sum to 180°.
Thus, 180° - 125° = 55°.
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A quadrilateral can be divided into two triangles.
Thus, its angle sum is 2 × 180° = 360°.
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Vertically opposite angles are equal.
Therefore, the opposite angle is 72°.
