Question

Using the diagram below, find x.

Answer 1

`x=28`

Explanation:

`we~know~ that~ all~ the~ angles ~in ~a ~triangle ~all~add ~up ~to ~180`°
`That ~means: x + ( 2x + 5 ) + ( 3x + 7 ) = 180.~Since~ addition~ is~ associative,\\~x + ( 2x + 5 ) + ( 3x + 7 ) = 180~ is ~the~ same ~as~ x + 2x + 5 + 3x + 7 = 180.`

`Combining~ like~ terms,~ we ~get: 6x + 12 = 180.`

`After~ we ~move~ 12~ to~ the~ other~ side~ so ~the~ x~ is~ iscolated,~ we~ get:\\\ 6x = 168.\\`

`Dividing~ each~ side~ by~ 6 ~gets~ us ~to~: x = 28, ~so ~the~ answer~ to~ this~ question~ is D.\\`

`Hope~this~helps!~Have~a~blessed~day~ahead!`

`-Isabelle~Williams`