Find the values of x,y, and z?

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1 Answer
Nov 21, 2017

#x,y, and z=86,76,and 94 Degrees#

Explanation:

Since the sum of all angles in a triangle is equal to #180#

Then in the left triangle, #x+54+40=180#

#x+94=180#

#x=180-94=86 degrees#

Also, #x+z=180#. Now that we found x, we can plug it in:

#86+z=180#

#z=180-86=94 Degrees#

Now, in the right triangle we set the sum of all three angles equal to #180#:

#z+y+10=180#

#94+y+10=180#

#y+104=180#

#y=180-104=76 Degrees#