Mathematics

Question



Which relationship describes angles 1 and 2?

Select each correct answer.

supplementary angles
complementary angles
vertical angles
adjacent angles

Two lines intersecting creating four angles with the left obtuse angle labeled one and the acute angle to the right labeled two

Two lines intersecting in a right angle with a square indicating a right angle in quadrant one and a ray splitting quadrant two with a two labeling the left angle and one labeling the angle on the right

Two parallel horizontal lines intersected by a vertical line with a square indicating a right angle in quadrant one of the top line and a one labeling the angle in quadrant two and two labeling quadrant four of the top line

Two lines intersecting in a V shape with the left angle of one hundred fifty seven degrees and a bottom angle of X degrees

Assessment menu bar

2 Answer

  • 1) supplementary angles => sum of angles' measure is 180°


    Two lines intersecting creating four angles with the left obtuse angle labeled one and the acute angle to the right labeled two

    = > angle 1 +  angle 2 = 180°

    Then those two match.


    2) complementary angles => sum of the two angles = 90°

    Two lines intersecting in a right angle with a square indicating a right angle in quadrant one and a ray splitting quadrant two with a two labeling the left angle and one labeling the angle on the right

    => angle 2 + angle 1 = 90°

    Then those two match

    3) vertical angles

    Two parallel horizontal lines intersected by a vertical line with a square indicating a right angle in quadrant one of the top line and a one labeling the angle in quadrant two and two labeling quadrant four of the top line

    Those two matches because the angle label 1 and the angle label 2 are vertical angles as per the definittion.

    4) adjacent angles

    Two lines intersecting in a V shape with the left angle of one hundred fifty seven degrees and a bottom angle of X degrees

    Those two match becasue the angle of 157° and the angle of X° are adjacent.
  • The required relation between angle1 and angle2 are adjacent angles and supplementary angle, because have a common side and a common vertex.

    In the given problem, we have to determine relationship angles 1 and 2.

    • Two Angles are Supplementary when they add up to 180 degrees.

    They don't have to be next to each other, just so long as the total is 180 degrees. Tw o lines intersecting creating four angles with the left obtuse angle labeled one and the acute angle to the right labeled two,

    =  m∠1 +  m∠ 2 = 180°

     

    • Complementary angles the sum of the two angles = 90°

    Two lines intersecting in a right angle with a square indicating a right angle in quadrant one and a ray splitting quadrant two with a two labeling the left angle and one labeling the angle on the right,

    =  m∠1 +  m∠ 2  = 90°

    • Vertical angles ; Two parallel horizontal lines intersected by a vertical line with a square indicating a right angle in quadrant one of the top line and a one labeling the angle in quadrant two and two labeling quadrant four of the top line.

    Those two matches because the angle label 1 and the angle label 2 are vertical angles as per the definition.

    • Adjacent angles ; Two lines intersecting in a V shape with the left angle of 157degrees and a bottom angle of X degrees.

    Those two match because the angle of 157° and the angle of are adjacent.

    Hence, The required relation between angle1 and angle2 are adjacent angles and supplementary angle, because have a common side and a common vertex.

    For more information about Types of Angle click the link given below.

    https://brainly.com/question/20962114

NEWS TODAY