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If triangle ZMK congruent to triangle APY, m angle M = 112 percent, m angle Y = 41 percent, m angle K = (13x - 37) percent, and m angle A = (2y + 7) percent, find the values of x and y



Can I please get help with this

Respuesta :

abidemiokin

Answer:

x = 6 and y = 10

Step-by-step explanation:

If triangle ZMK is congruent to triangle APY, then;

<Z = <A

<M = <P

<K = <Y

Given the following angles

<M = 112

<Y = 41

<K = 13x - 37

<A = 2y + 7

Required

Value of x and y

Since <K = <Y, then;

13x - 37 = 41

Add 37 to both sides

13x - 37 + 37 = 41 + 37

13x = 78

x = 78/13

x = 6

Also <Z + <M + <K = 180

<Z + 112+41 = 180

<Z + 153 = 180

<Z = 180-153

<Z = 27 degrees

Since <Z = <A

27 = 2y + 7

2y = 27-7

2y = 20

y = 20/2

y = 10

Hence x = 6 and y = 10