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given that lines a and b are parallel what angles formed on line b when cut by transversal are congruent with angle 3

Given That Lines A And B Are Parallel What Angles Formed On Line B When Cut By Transversal Are Congruent With Angle 3 class=

Sagot :

Answer:

Angle 3 is congruent to both angle 6 and angle 7.

[tex]\measuredangle3=\measuredangle6=\measuredangle7[/tex]

Answer:

Given the diagram attached;

Angle 3 is congruent to angle 6.

[tex]\measuredangle3=\measuredangle6[/tex]

Reason: Alternate angles are equal.

Secondly, Angle 3 is congruent to angle 2.

[tex]\measuredangle3=\measuredangle2[/tex]

Reason: Vertically opposite angles are equal.

Thirdly, Angle 3 is congruent to angle 7.

[tex]\measuredangle3=\measuredangle7[/tex]

Reason: Corresponding angls are equal.

Therefore, Since we only need angle that are congruent to angle 3 that are on line b. We have;

Angle 3 is congruent to both angle 6 and angle 7.

[tex]\measuredangle3=\measuredangle6=\measuredangle7[/tex]

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