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mafiozo [28]
4 years ago
5

The intersection of parallel lines b and c and transversal line d form several special angle relationships, as shown in the imag

e below.
Which pairs of angles are congruent? Select all that apply.

angle 1 and angle 4

angle 3 and angle 5

angle 2 and angle 8

angle 3 and angle 7

Mathematics
2 answers:
Svetradugi [14.3K]4 years ago
8 0

Answer:

The correct answers are

angle 1 and angle 4

angle 3 and angle 7

Step-by-step explanation:

From the given figure we can see that,

b and c are parallel lines.

The correct answers are,

<u>1). angle 1 and angle 4</u>

Angle 1 and 4 are vertically opposite angles. Vertically opposite angles are equal.Therefore angle 1 congruent angle 4

<u>2). angle 3 and angle 7</u>

angle 3 and angle 7 are corresponding angles on same side which are equal. Therefore angle 3 congruent angle 7

ANTONII [103]4 years ago
8 0

Answer:

\angle 1 = \angle 4

\angle 3= \angle 7

Step-by-step explanation:

\angle 1 = \angle 4

Since they are vertically opposite angles

Since b || c

\angle 3= \angle 6 --1

Since they are alternate interior angles.

\angle 7= \angle 6  --2

Since they are vertically opposite angles

So, By 1 and 2

\angle 3= \angle 7

So, Option 1 and option 4 are the pairs of angles which are congruent.

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