brown62
09.10.2019 •
Mathematics
With 25 !
given a∥b , and c is not parallel to a or b, which statements must be true?
select each correct answer.
m∠7=m∠10
m∠4=m∠8
m∠8=m∠9
m∠2=m∠7
2.in this figure, ab∥cd and m∠3=120°.
what is m∠6?
wo supporting reasons are missing from the proof. complete the proof by dragging and dropping the appropriate reasons into each of the empty boxes.
given: m∥nm∠1=120°
prove: m∠6=60°
the figure shows what appear to be parallel lines n and m rising from left to right with line m above line n. line p rises slightly from left to right first intersecting line n, then line m. the angles formed by the intersection of lines p and m are numbered from 1 through 4 in a clockwise direction starting with angle 1 which is located above line m and to the left of line p. the angles formed by the intersection of lines p and n are numbered 5 through 8 in a clockwise direction with angle 5 above line n and to the left of line p.
statements reasons
m∥nm∠1=120° given
∠5≅∠1
m∠5=m∠1 angle congruence postulate
m∠5=120° substitution property of equality
m∠6+m∠5=180°
m∠6+120°=180° substitution property of equality
m∠6=60° subtraction property of equality
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Ответ:
1. The correct options are 2 and 4.
2. The measure of angle 6 is 60°.
Step-by-step explanation:
1.
It is given that a∥b , and c is not parallel to a or b. So, we can not establish any relationship among the angles on the line a,b and angles on the line c.
If a traversal line intersect two parallel line, then corresponding angles, alternate exterior angle and alternate interior angles are equal.
Therefore correct options are 2 and 4.
2.
It is given that AB∥CD and m∠3=120°.
Statements Reasons
m∥nm∠1=120° Given
∠5≅∠1 Corresponding angles are equal
m∠5=m∠1 Angle Congruence Postulate
m∠5=120° Substitution Property of Equality
m∠6+m∠5=180° Supplementary angle property
m∠6+120°=180° Substitution Property of Equality
m∠6=60° Subtraction Property of Equality
Therefore the measure of angle 6 is 60°.
Ответ:
Step-by-step explanation:
It is given that a∥b , and c is not parallel to a or b. therefore, we can not create any relationship among the angles made on the line a,b and the angles on the line c.
If a traversal line intersect two parallel line, then corresponding angles, alternate exterior angle and alternate interior angles are equal, therefore using these properties, we have
m∠4=m∠8 (Corresponding angles) and m∠2=m∠7(Alternate exterior angle)
Therefore, correct options are 2 and 4.
2. Given: It is given that AB∥CD and m∠3=120°.
To prove: m∠6=60°
Proof:
Statements Reasons
1. m∥n, m∠1=120° Given
2. m∠5≅m∠1 Corresponding angles
3. m∠5=m∠1 Angle Congruence Postulate
4. m∠5=120° Substitution Property of Equality
5. m∠6+m∠5=180° Supplementary angle property
6. m∠6+120°=180° Substitution Property of Equality
7. m∠6=60° Subtraction Property of Equality
Therefore the measure of angle 6 is 60°.
Ответ:
59.69
Step-by-step explanation: