Alternate Angles The alternate angles are formed between the parallel lines after they are cut by a transversal. Introduction to Alternate Angles 2. Types of Alternate Angles 3. Alternate Angles Theorem 4. Solved Examples on Alternate Angles 5. Practice Questions on Alternate Angles 6. Solved Examples Example 1: Two roads are running parallel to each other as shown below. Solution: To solve this problem, we will be using the alternate exterior angle theorem.
Solution: Given that, p q. Great learning in high school using simple cues. Indulging in rote learning, you are likely to forget concepts. With Cuemath, you will learn visually and be surprised by the outcomes.
Practice Questions on Alternate Angles. Explore math program. Explore coding program. Angles in Parallel Lines Worksheets. Make your child naturally math minded. Book A Free Class.
These add up to degrees e and c are also interior. Any two angles that add up to degrees are known as supplementary angles. Angle Sum of a Triangle Using some of the above results, we can prove that the sum of the three angles inside any triangle always add up to degrees. If we have a triangle, you can always draw two parallel lines like this: Now, we know that alternate angles are equal. Angle Sum of a Quadrilateral A quadrilateral is a shape with 4 sides. Exterior Angles The exterior angles of a shape are the angles you get if you extend the sides.
The exterior angles of a hexagon are shown: A polygon is a shape with straight sides. Interior Angles The interior angles of a shape are the angles inside it. Exterior Angle of a Triangle Angle x is an exterior angle of the triangle: The exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices.
Proof: The angles in the triangle add up to degrees. The angles on a straight line add up to degrees. This is what we wanted to prove.
The following will help you understand what these angles are and explore examples, and frequently asked questions. Put simply, alternate interior angles are formed when two lines are intersected by a third line. That third line is known as the transversal line. If two parallel or non-parallel lines are intersected by a transversal line, alternate interior angles are always formed. The angles are on opposite sides of the transversal line and on the inside of the parallel or non-parallel lines.
This is why they are called alternate interior angles — they are opposite, and on the interior of the two lines! Note that you will find two pairs of alternate interior angles on the transversal line. If you consider the two angles on the same side as the transversal line, these are known as consecutive interior angles.
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