Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
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.
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.