Answer:
a) 1 and 7 = congruent
b) 2 and 5 = supplementary
c) 4 and 6 = congruent
d) 3 and 8 = supplementary
Step-by-step explanation:
Congruent angles are the same, but in different forms. So they might be flipped around, but they are still the same angle and they have the same number of degrees.
Supplementary angles are 2 angles that add up to 180 degrees.
For example, you know that 2 + 3 = 180 degrees, because its sitting on a straight line, and so they are supplementary. They have been cut unevenly which makes 2>3. Same goes for all the other pairs of angles. Using this, you can determine which ones are supplementary and congruent.
So, even though they haven't given you exact values for each of the angles, just by looking at the shape, you can often tell very easily what kind they are:
*acute angles = angles that are less than 90 degrees
*obtuse angles = angles more than 90 degrees, but less than 180 degrees.
a) 1 and 7 have the same shape. Both are acute angles, just flipped upside down.
b) 2 and 5 are complementary. 5 is an acute angle, like 1 and 7. 2 is an obtuse angle, like 6 and 8. If you look at it closely, you can tell that they add up to 180 degrees.
c) 4 and 6 are congruent. They are both obtuse angles.
d) 3 and 8 are supplementary. 3 is an acute angle and 8 is obtuse.
Hope this helped : )
