Question

14) Find the value of x, y and z in the given below diagram

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Answer 1

Answer:

we know sum of the angles in triangle is 180degrees

x+39+28=180

x+67=180

x=180-67=113

x=113

x+y =180 (linear pair)

113+y=180

y=180-113=67

y=67

we know sum of the angles in triangle is 180degrees

z+y+64=180

z+67=180

z=180-67=113

z=113

Answer 2

Answer:

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=86degrees

Also,

x+z=180

. Now that we found x, we can plug it in:

86+z=180

z=180−86=94Degrees

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=76Degrees

It is another sum but same process!