Respuesta :
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.
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 X° 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
