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Which pair of angles is NOT congruent? (A) angle1 and angle7 ( B ) angle3 and angle5; (C) angle4 and angle6; (D) angle2 and angle5

Which pair of angles is NOT congruent? (A) angle1 and angle7 ( B ) angle3 and angle-example-1
User Revircs
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1 Answer

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Congruent angles simply refer to those angles that are the same size.

The rules for congruent angles with parallel lines and transversal are that the angles must be:

1) Alternate Interior Angles

2) Alternate Exterior Angles

3) Corresponding Angles

4) Vertical Angles.

Now, let us check each option individually:

OPTION A: Angles 1 and 7

Angles 1 and 7 are alternate exterior angles.

Therefore, they are CONGRUENT.

OPTION B: Angles 3 and 5

Angles 3 and 5 are alternate interior angles.

Therefore, they are CONGRUENT.

OPTION C: Angles 4 and 6

Angles 4 and 6 are corresponding angles.

Therefore, they are CONGRUENT.

OPTION D: Angles 2 and 5

Angles 2 and 5 do not have any particular relationship with each other.

Therefore, they are NOT CONGRUENT.

Hence, OPTION D is correct.

User Naveen Pathiyil
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