In the figure above, lines l and m are parallel and lines s and t are parallel if the measure of <1 is 35, what is the measure of 2
Answers
Answer: 145
Step-by-step explanation:
145 degrees
The measure of angle ∠2 in the triangle is 145.
Option D is the correct answer.
We have,
From the figure,
The s and t lines are parallel.
The l and m lines are parallel.
Now,
∠1 and ∠a are corresponding angles.
∠b and ∠a are corresponding angles.
This means,
∠1 = ∠a = ∠b = 35
Now,
∠2 and ∠b add up to a straight angle.
This means,
∠2 + ∠b = 180
∠2 + 35 = 180
∠2 = 180 - 35
∠2 = 145
Thus,
The measure of angle ∠2 is 145.
Learn more about corresponding angles here:
https://brainly.com/question/1597341
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Step-by-step explanation: