Congurent triangles are those which map onto them selves perfectly. This means they share the same angle measurements and side lengths. Therefor we can figure out the side lengths by using the information in both triangles.

AD=5x+11

in the congurent triangle, the corresponding side equals:

CM=7x-3

CM and AD are congurent triangles meaning their sidelengths equal the same. Therefore...

5x+11=7x-3

Now we just solve to find the length of AD and CM (equal lengths)

5x+11=7x-3

11=2x-3

14=2x

7=x

x=7

If x=7 then we can plug it in for AD to find the side length.

5(7)+11=46

Notice that CM equals the same 7(7)-3=46

This is because... they are congruent triangles.

These rules also apply for all angle measurements of congruent triangles:

The m<v is equal to the meaasure of E (corresponding angles in congrurent triangles are equal)

We already astablished what x was (x=7) meaning if we find the measure of E then we have the measure of V sicne they are corresponding angles in a congrurent triangle.

(6x7+1)=43°

therefore the m<v is equal to 43°

46 and 43° is your answer

Step-by-step explanation:

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2 years ago