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Alternate Exterior Angles Example
Alternate Exterior Angles Example. Find the measure of angle c shown in the following image, knowing that angle b measures 30 °. Alternate exterior angles are congruent, meaning they have equal measure.

Depending on the nature of the lines, the angles will have some characteristics. Solution we have been given that the lines l 1 and l 2 are parallel. Examples of alternate interior angles.
Depending On The Nature Of The Lines, The Angles Will Have Some Characteristics.
Another use of alternate exterior angles is in fitting items such as sofas, chairs, tables etc. According to the figure given above, ∠3, ∠4, ∠5, and ∠6 form the interior alternate angles. Solution we have been given that the lines l 1 and l 2 are parallel.
This Means 122° + Angle X = 180°.
Consider the given figure, ef and gh are the two parallel lines. ∠1 and ∠4 is one pair of alternate exterior angles, and the other pair is ∠2 and ∠3. In a given set of 2 parallel lines which are cut by a transversal, if the alternate exterior angles are shown as (2x + 26)° and (3x−33)°, find the value of x and the actual value of the alternate exterior angles with the help of the alternate exterior angles theorem.
A Line That Crosses Two Or More Other Lines Is Called A Transversal.
When two lines are crossed by another line (called the transversal ): According to corresponding angles, angle x is equal to angle k. Therefore, c = b = 120°.
Calculate The Size Of The Missing Angle Θ.
Find the measure of angle c shown in the following image, knowing that angle b measures 30 °. Hence, the measurement of the angles is 144 o. The term alternate exterior angles is often used when two lines are cut by a third line, a transversal.
Often, Two Of The Lines Will Be Parallel, Setting Up Some Interesting Angles With The Transversal.
The alternate angles are located on opposite sides of the transverse line. Alternate exterior angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. In the diagram below, transversal l intersects lines m and n.
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