Answer:
Step-by-step explanation:
the given angle measurments are x, (x + 18), and 2(x - 5)
knowing that the angles add up to 180, you can write the equation:
x + (x + 18) + 2(x - 5) = 180
Then you solve the equation
so our equation is:
x + x + 18 + 2(x - 5) = 180
*combine like terms
2x + 18 + 2(x - 5)
*distribute the 2
2x + 18 + 2x - 10
* combine like terms
4x + 8 = 180
* subtract 8 from both sides
4x = 172
* divide both sides by 4
x = 43
so knowing that x is 43, we can plug that in to the original given angle measurements:
the top angle which was x + 18 becomes 43 + 18, or 61
the bottom right angle was 2(x - 5), now it's 2(43 - 5) or 2(38) which is 76
and the other one was x so it's 43 degrees
We can check our work by adding them together.
61 + 76 + 43 = 180
they equal 180 as the angles of a triangle should.
Note: most of these numbers should have degree symbols, but I don't know how to type that.
