The required angles are:
m<1= 131°
m<2 = 49°
m<3 = 112°
Step-by-step explanation:
When a traversal cut the line, the vertical angles are same.
Vertical angles are defined as pair of opposite angles formed by two lines that are intersecting.
Here 49° and <2 are vertical angles.
So, m<2 = 49°
The sum of supplementary angles is equal to 180°.
So, m<1 and m<2 are supplementary angles
m<1+m<2=180°
m<1+49°=180°
m<1=180°-49°
m<1= 131°
Now finding m<3
112° and m<3 are vertical angles
We know that When a traversal cut the line, the vertical angles are same.
m<3 = 112°.
The required angles are:
m<1= 131°
m<2 = 49°
m<3 = 112°
Keywords: Traversal of parallel lines
Learn more about traversal of parallel lines at:
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brainly.com/question/1598227
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