Question

Please help: in the figure, ∆LMN ≅ ∆RST. find the values of x and y​

Answer 1

X=8, y=19

Explanation:

These two triangles are congruent. This means that angle STR = angle MNL, so angle STR = 63°. We know the angles in a triangle must sum to 180°, so we can figure out 3x from this, given that we know the other two angles. 63 + 93 = 156, so 3x = 180-156=24. This gives us that x = 8. Now we can solve for x, because we know that SR = ML, so 3x + y = 43. We know x = 8, so we get that 24 + y = 43, or y = 19.

I hope this helps!

Answer 2

To find the values of x and y in the congruent triangles ∆LMN and ∆RST, set up the equations using the fact that their corresponding sides are equal in length.

To find the values of x and y in the given scenario, we need to use the fact that ∆LMN is congruent to ∆RST.

Since the two triangles are congruent, their corresponding sides are equal in length.

Using this information, we can set up the following equations:

LM = RS

MN = ST

LN = RT

By substituting the given values and the variables x and y, we can solve the system of equations to find the values of x and y.