Question

Which of the following statements is ALWAYS TRUE when parallel lines are cut by a transversal?
The sum of the degree measure of corresponding angles is 180°.
The sum of the degree measure of complementary angles is 180°.
The angles in a vertical pair are acute.
Corresponding angles are supplementary.
Corresponding angles are equal.

Answer 1

Step-by-step explanation:

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$\tt answer \: 1$

no, false the corresponding angles are always equal but not sum up to 180°

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$\tt answer \: 2$

no,

the sum of the degree measures of complementary angles is always 90°

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$\tt answer \:3$

no,

the angles in a vertical pair are:

I acute and the other is obtuse

so, only one angle is acute

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$\tt answer \: 4$

corresponding angles aren't supplementary but they are equal..

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$\tt answer\:5$

yes, true

corresponding angles are always equal..

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Answer 2

Answer:

Option (C) the angles in a vertical pair are acute .

Step-by-step explanation:

Explanation:

When two parallel lines are cut by transversal

then corresponding angles are congurent , sum of co - interior angles are180° , alternate interior angles are same and  alternate exterior angles are also same.

So, let l , m be two parallel line whic is cut by tranversal and

let the angles are ∠1,∠2,∠3,∠4,∠5,∠6.

Therefore ,

∠1≅∠5

∠2≅∠6

∠3≅∠7 and ∠4≅∠8

Final answer:

Hence , option (c) the angles in a vertical pair are acute is the correct answer.