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dakotacsey03
22.12.2019 •
Mathematics
1. in the diagram, line segment vr is parallel to line segment us.
which two angles are a pair of corresponding angles?
< ang1 and ang2
< ang1 and ang3
< ang1 and ang4
2. in the diagram, line segment vr is parallel to line segment us.
which two angles are a pair of alternate interior angles?
< ang3 and ang5
< ang2 and ang8
< ang3 and ang8
3. if line segment ef is parallel to line segment cd and mangle+symbol5 = 75°, what is mangle+symbol1?
a) < 15°
b) < 105°
c) < 75°
d) < not enough information is given.
4. if line segment ef is parallel to line segment cd and mangle+symbol7 = 101°, what is mangle+symbol2?
a) < 11°
b) < 101°
c) < 79°
d) < not enough information is given.
5. use the figure to answer the question.
which describes ∠1 and ∠8?
a) < alternate interior angles
b) < alternate exterior angles
c) < corresponding angles
b) < vertical angles
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Ответ:
2) alternate interior angles are < ang2 and ang8
3) m∠5 = 75° ; m∠5 and m∠1 are corresponding angles, so, m∠1 is 75°. choice c.
4) m∠7 = 101°; m∠7 and m∠2 are alternate exterior angles, so, m∠2 is also 101°.
5) ∠1 and ∠8 are alternate exterior angles.
Ответ:
#1) ∠1 and ∠4
#2) ∠2 and ∠8
#3) C) 75°
#4) B) 101°
#5) B) alternate exterior angles
Explanation:
#1) Corresponding angles are angles that are in the same relative position. Angle 1 and angle 4 are in the bottom left corner of their triangle, thus are corresponding.
#2) Alternate interior angles are angles that are between the two parallel lines and on opposite sides of the transversal. ∠2 and ∠8 are both inside the parallel lines, and on opposite sides of the transversal.
#3) ∠1 and ∠5 are corresponding angles; this means they have the same measure. Since m∠5 = 75°, then m∠1 = 75° as well.
#4) ∠7 and ∠2 are alternate exterior angles; this means they have the same measure. Since m∠7 = 101°, then m∠2 = 101° as well.
#5) Alternate exterior angles are angles that are outside the parallel lines and on opposite sides of the transversal. ∠1 and ∠8 are both outside the parallel lines and on opposite sides of the transversal, so they are alternate exterior.
Ответ: