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In the figure, line a and line b are parallel. Based on the figure, match each given angle with its congruent angles.

angles congruent to <1
angles congruent to <2
angles congruent to <7
angles congruent to <6

match to these
<3,<7,<6
<3, <7, <2
<4,<8,<5
<3,<6,<2

In the figure line a and line b are parallel Based on the figure match each given angle with its congruent angles angles congruent to lt1 angles congruent to lt class=

Respuesta :

calculista
Part 1) angles congruent to <1

we know that
<4=<1-------> by vertical angles
<5=<1-------> by corresponding angles
<8=<5------> by vertical angles or <8=<1 ----> by alternate exterior angles
so
the answer part 1) is
<4,<8,<5

Part 2) angles congruent to <2
we know that
<3=<2-------> by vertical angles
<6=<2-------> by corresponding angles
<7=<6------> by vertical angles or <7=<2 ----> by alternate exterior angles
so
the answer part 2) is
<3,<7,<6

Part 3)angles congruent to <7
we know that
<6=<7-------> by vertical angles
<3=<7-------> by corresponding angles
<2=<3------> by vertical angles or <2=<7 ----> by alternate exterior angles
so
the answer part 3) is
<3,<6,<2

Part 4) angles congruent to <6
we know that
<7=<6-------> by vertical angles
<2=<6-------> by corresponding angles
<3=<2------> by vertical angles or <3=<6 ----> by alternate interior angles
so
the answer part 4) is
<3, <7, <2
ashishdwivedilVT

Angles congruent to ∠1  will be angles ∠4,∠5, ∠8.

From the diagram,

∠1 =∠4.....opposite angles

∠1 = ∠5.....corresponding angles.

∠5 = ∠8.....opposite angles.

So, ∠1 = ∠8

What are congruent angles?

Angles that are equal in magnitude are called congruent angles to each other.

So, ∠1 will be congruent to ∠4,∠5, ∠8.

Similarly, ∠2 will be congruent to ∠3,∠6,∠7.

∠7 will be congruent to ∠6,∠3,∠2.

∠6 will be congruent to ∠2,∠3,∠7.

Therefore, angles congruent to ∠1  will be ∠4,∠5, ∠8.

To get more about parallel lines visit:

https://brainly.com/question/24607467

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