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

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:

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