Assuming that the triangles shown are congruent, choose the correct correspondence.

∠7=∠8

Step-by-step explanation:

We are given that:

The triangles shown are congruent.

Now, We know that alternate angle are the two angles, formed when a line crosses two other lines, that lie on opposite sides of the transversal line and on opposite relative sides of the other lines.

If the two lines crossed are parallel, the alternate angles are equal.

i.e. in the given figure

∠7=∠8

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

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i hope this answer you! if you have any further questions or concerns, feel free to ask! : )

step-by-step explanation:

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