Topic Details (Notes format)

How to Solve Angle Problems in Parallel Lines

Subject: Mathematics

Book: Maths Mastery

When two parallel lines are cut by a transversal, angles form predictable relationships: alternate interior angles are equal, corresponding angles match, and consecutive interior angles sum to 180°. For example, if one angle measures 70° in a parallel line setup, the alternate interior angle also measures 70°, and the consecutive interior angle is 110°. These geometric properties appear in architecture (ensuring walls/floors meet at correct angles), drafting, and design. Mastery helps you quickly interpret, measure, or construct parallel lines for numerous practical tasks.

Practice Questions

What is the sum of the interior angles of a hexagon?

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If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

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If x^2 - 5x + 6 = 0, what are the roots?

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If 2a + b = 10 and a - b = 4, what is the value of a?

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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What is the sum of the first 10 positive even numbers?

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What is the greatest common divisor (GCD) of 36 and 48?

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What is the sum of all angles in a hexagon?

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If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

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