Answer:
Thanks for asking for the explanation, everyone wants just the answer, You want to know how to solve the problem , great. :)
Step-by-step explanation:
Our strategy and one you can use on any triangle problem.
the interior angles add to 180° . Remembering that, seems to me, that very often is the "key" to figuring out triangle problems.
keeping that in mind, we know to add up all the inside angles to 180
180= A + B + C
from this particular triangle then, we have
A = 6X
B = 90 ( b/c that's what the small red square is telling us, it's a 90 angle )
C = 5x - 2
put that all together
180 = 6x + 90 +5x - 2
now use your algebra skills to solve for X ( and to be fair, this is where lots of people struggle, the algebra skills are not so good )
so I'll just go slow
put like terms together
180 = 11x + 88 ( I just added the terms with an x, and the constant terms )
move the 88 over to the other side by subtracting
92 = 11x
divide both sides by 11
92 / 11 = x
8.3636 = x
now that we know x, plug it into the expression for the angle next to the y angle in the picture
5x - 2
5(8.3636) - 2
39.8181
then y is the other part of another 180 pair of angles sooo use that again
180 = 39.8181 + y
solve for y
140.1818 = y
Hope this helps, ask any questions you may have, :)
