Find The value of x, y and z​

Asked 9 months ago
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Find The value of x, y and z​

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Answer:

x = 18 ; y = 10 ; z = 102°

Step-by-step explanation:

The triangle in the pic is an isosceles triangle.

As it is an isosceles triangle , it's two sides will be equal .

 =  > 3x - 42 = 12

 =  > 3x = 42 + 12 = 54

 =  > x = \frac{54}{3}  = 18

Also, both the base angles will be equal.

4y - 1 = 39

 =  > 4y = 39 + 1 = 40

 =  > y =  \frac{40}{4}  = 10

According to angle sum property of a triangle , sum of measure of all the angles of a triangle is equal to 180°. So,

z + 39 + 39 = 180

 =  > z + 78 = 180

  =  > z = 180 - 78 = 102

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answered 9 months ago