Question

Find the values of x,y, and z.

guys please help me. I missed a class and can't find the video to help me solve this​

Answer 1

x = 7.2 , y = 57 , z = 10.8

Explanation:

the sum of the 3 angles in the outer triangle = 180° , that is

y + 88 + 35 = 180

y + 123 = 180 ( subtract 123 from both sides )

y = 57

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the outer and inner triangles are similar ( AA postulate ) then the ratios of corresponding sides are in proportion, that is

`(x)/(12)` =
`(9)/(9+6)` =
`(9)/(15)` ( cross- multiply )

15x = 108 ( divide both sides by 15 )

x = 7.2

and

`(z)/(18)` =
`(9)/(15)` ( cross- multiply )

15z = 162 ( divide both sides by 15 )

z = 10.8