The measure of is .
Further explanation:
When a transversal intersects two parallel lines, then the pair of particular angles is equal and the sum of the angles formed to the one side of the transversal is .
The name of angles which are equal is listed below.
- Corresponding angle
- Interior alternate angle
- Exterior alternate angle
- Vertically opposite angle
In the below figure, an angle is considered as which is of measure .
On the basis of the below figure, pairs of Corresponding angles are listed below.
Pairs of Interior alternate angles :
Pairs of Exterior alternate angles :
Pairs of Vertically opposite angle :
Sum of angles on the same side of the transversal :
Now the is the linear pair of .
Or, and makes a straight line, therefore the sum of both the angles is .
It is given that .
is calculated below.
The measure of is .
Learn more:
1. The definition of an angle. brainly.com/question/3413207
2. Blank two points are collinear. brainly.com/question/4838384
3. What are three collinear points on the line? brainly.com/question/5795008
Answer Details
Grade: Junior High School
Subject: Mathematics
Chapter: Lines and angles
Keywords: parallel lines, transversal, , , , , intersects, corresponding angle, alternate angle, vertically opposite angle, linear pair of angles, sum of angles on the same side of transversal