Find the solution

y=- X
{ 3x = -3y

Find the solution
y=- X
{ 3x = -3y

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Ответ:

badgirl2005

15.05.2023

Mathematics

C. Triangle ABC is similar to triangle JEL by AA similarity postulate.

Step-by-step explanation:

We have been given 4 triangles. We are asked to find which triangle is similar to triangle ABC.

We know that angles of triangle add up-to 180 degrees.

Let us find measure of angle C as:

$m\angle A+m\angle B+m\angle C=180^{\circ}$

$50^{\circ}+65^{\circ}+m\angle C=180^{\circ}$

$115^{\circ}+m\angle C=180^{\circ}$

$115^{\circ}-115^{\circ}+m\angle C=180^{\circ}-115^{\circ}$

$m\angle C=65^{\circ}$

We can see that in triangles ABC and JEL:

$m\angle B=m\angle E=65^{\circ}$

$m\angle C=m\angle L=65^{\circ}$

Therefore, triangle ABC is similar to triangle JEL by angle AA similarity postulate and option C is the correct choice.

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Find the solution y=- X { 3x = -3y