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Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent.


Which statement is true about angles 3 and 5?

They are acute.
They are congruent.
They are complementary.
They are supplementary.

Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent Which statement is true about angles 3 and 5 They are acute They are con class=

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gustanika
Angle 1 and angle 5 are congruent. Angle 1 and angle 3 form a straigt-line angle, which add up to 180°. Thus angle 1 and angle 3 are called supplementary angles. Because angle 1 are congruent to angle 5, that means angle 5 and angle 3 are also supplementary to each other.

Answer: They are supplementary
tifanihayyu

Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent. The statement "They are complementary" is true about angles 3 and 5

Further explanation

Two Angles are Supplementary when they add up to 180 degrees.  Only a pair of angles can be supplementary.

Whereas two Angles are Complementary when they add up to 90 degrees (a Right Angle). Three or more angles are also not called complementary, even if their measures are add up to 90 degrees.

Congruent Angles have the same angle (in degrees or radians). That is all. These angles are congruent. Whereas an acute angle is an angle smaller than a right angle, where the range of an acute angle is between 0 and 90 degrees.

According to the picture, angle 3 is 45 degrees. Whereas angle 5 have 135 degrees.

Angle 3 + angle 5 = 45 degree + 135 degree =  180 degree

So, Which statement is true about angles 3 and 5 is They are complementary.

Learn more

  1. Learn more about supplementary angles https://brainly.com/question/1180487
  2. Learn more about complementary angles https://brainly.com/question/2886755
  3. Learn more about parallel lines https://brainly.com/question/12015612

Answer details

Grade:  9

Subject:  mathematics

Chapter:  lines

Keywords: parallel lines, lines, complementary angles, supplementary angles, acute angles.

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