Question

Solve for x in both triangles

Answer 1

Explanation:

so for the triangles in 7) they angles are the same in each, that's what the lines are saying, that they are the same angles, and because the angle are the same, the triangles are just a scale of each other we can say that the X side is just a ratio of the other triangle , or

`(6)/(12)` =
`(10)/(x)`

now just solve for X

`(12)/(6)` *
`(6)/(12)` =
`(10)/(x)` *
`(12)/(6)`

x = 120/6

x=20

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for the triangles in 8) same thing

`(x)/(3)` =
`(14)/(21)`

`(3)/(1)` *
`(x)/(3)` =
`(14)/(21)` *
`(3)/(1)`

X =
`(14)/(7)`

X = 2