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 cube root of 729?

View Question

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

View Question

If the radius of a circle is doubled, what happens to its area?

View Question

A man spends 75% of his income and saves Rs. 600. What is his total income?

View Question

The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

View Question

If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

View Question

If a:b = 5:7 and b:c = 6:11, what is a:c?

View Question

What is the area of a sector of a circle with radius 14 cm and central angle 90°?

View Question

If x^2 + 4x + 4 = 0, what is the value of x?

View Question

If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

View Question