Alternate interior angles are pairs of angles formed when a transversal intersects two parallel or non-parallel lines. They lie on the inner side of the parallel lines but on opposite sides of the transversal. To identify these angles, draw a zig-zag line on the diagram and state the alternate angle, co-interior angle, or corresponding angle fact to find a missing angle.
Alternate interior angles can be found by looking closely at the words alternate and interior. Alternate tells you that the angles lie on opposite sides of the transversal, while interior means that the angles lie on the inner side of the lines.
To find a missing angle in parallel lines, highlight the angle(s) that you already know and state the alternate angle, co-interior angle, or other related facts. Alternate interior angles are formed when a transversal intersects two coplanar lines and lie on the inner side of the parallel lines but on the opposite side of the transversal.
When two lines intersect, vertical angles are equal and adjacent angles are supplementary, with their measures summating to 180 degrees. Use the Alternate Interior Angles theorem to first find x and y and then to find the measures of the angles, assuming the lines are parallel.
📹 Using Alternate Interior Angles to Find the Missing Measure of an Angle
Learn how to solve for an unknown variable using parallel lines and a transversal theorems. Two lines are said to be parallel …
📹 Finding Missing Angles, Parallel Lines and Transversal Ex.
This video focuses on one example on how to find missing angles when given a set of parallel lines with a transversal cut through …
How do you find it when the transverse is a side of a triangle and two parallel lines cross the transverse and you’ve got no information of one of the information of one of the parallel lines interior angles and the angles of the triangles angles are 34,45 and 58 respectively from the top of the triangle moving clockwise ?