Respuesta :

jasoniandrucker

Answer:

x=8 y=19

Step-by-step explanation:

A triangle's angles should up to 180 degrees. With that being said, you can add up the two known angles, 93+63 = 156, so we only need 24 degrees to reach a true triangle. Considering that the unknown angle "3x" is the only angle left, then the equation would be 3x=24, so this means x=8. Then you plug in 8 inside 3x+y and we get 24+y. Since the triangle is congruent, then we must equal this phrase to the side's corresponding side on the other triangle. So it should look like 24+y=43, and after simplifying, you will get y=11

The value of x in the diagram given that triangle LMN is congruent to the triangle RST is; x = 8

Congruent Triangles

From the attached image, we can see that since triangle LMN is congruent to triangle RST, then;

ST is congruent to MN

SR is congruent to ML

RT is congruent to LN

Thus;

180 - (93 + 3x) = 63 (since sum of angles in a triangle is 180°)

Thus;

180 - 63 - 93 = 3x

24 = 3x

x = 24/3

x = 8

Similarly;

3x + y = 43

3(8) + y = 43

24 + y = 43

y = 43 - 24

y = 19

Read more about congruent triangles at; https://brainly.com/question/7727792

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