Given :
▪︎Measure of ∠R = 90°
▪︎Segment OR = Segment RN
Which will mean, ∠O = ∠N.
Thus :
![=\tt ∠R + ∠O + ∠ + N = 180](https://tex.z-dn.net/?f=%20%3D%5Ctt%20%E2%88%A0R%20%2B%20%E2%88%A0O%20%2B%20%E2%88%A0%20%2B%20N%20%3D%20180)
![= \tt90 + x + x = 180](https://tex.z-dn.net/?f=%20%3D%20%5Ctt90%20%2B%20x%20%2B%20x%20%3D%20180)
![=\tt 90 + 2x = 180](https://tex.z-dn.net/?f=%20%3D%5Ctt%2090%20%2B%202x%20%3D%20180)
![= \tt2x = 180 - 90](https://tex.z-dn.net/?f=%20%3D%20%5Ctt2x%20%3D%20180%20-%2090)
![=\tt 2x = 90](https://tex.z-dn.net/?f=%20%3D%5Ctt%202x%20%3D%2090)
![=\tt x = \frac{90}{2}](https://tex.z-dn.net/?f=%20%3D%5Ctt%20x%20%3D%20%20%5Cfrac%7B90%7D%7B2%7D%20)
![=\tt x = 45](https://tex.z-dn.net/?f=%20%3D%5Ctt%20x%20%3D%2045)
Which means :
Measure of ∠O = 45°
Measure of ∠N = 45°
Therefore, the measures of these angles in ascending order = 45,45,90.
Answer and Step-by-step explanation:
![Greetings!](https://tex.z-dn.net/?f=Greetings%21)
![Let's~answer~your~question!](https://tex.z-dn.net/?f=Let%27s~answer~your~question%21)
![Since~ we~ know~ that ~these ~two~ are~ similar, ~it ~is ~also~ given ~that~ corresponding\\ parts ~of ~the~ triangle~ are ~proportional.~ In ~result,~ you~ can~ set~ the~ proportions~\\something~ like~ this:](https://tex.z-dn.net/?f=Since~%20we~%20know~%20that%20~these%20~two~%20are~%20similar%2C%20~it%20~is%20~also~%20given%20~that~%20corresponding%5C%5C%20parts%20~of%20~the~%20triangle~%20are%20~proportional.~%20In%20~result%2C~%20you~%20can~%20set~%20the~%20proportions~%5C%5Csomething~%20like~%20this%3A)
![\frac{16}{32}= \frac{12}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B32%7D%3D%20%5Cfrac%7B12%7D%7B24%7D)
![Now,~from~ here, you~ can ~figure~ out~ that~ the~ ratio~ of ~the ~larger ~triangle~ to ~the \\~smaller~ triangle~ is ~.75:1](https://tex.z-dn.net/?f=Now%2C~from~%20here%2C%20you~%20can%20~figure~%20out~%20that~%20the~%20ratio~%20of%20~the%20~larger%20~triangle~%20to%20~the%20%5C%5C~smaller~%20triangle~%20is%20~.75%3A1)
![You~can~ then~ apply~ this~ to~ the~ side ~of ~x-1 ~and ~set~ up ~the~ equation.](https://tex.z-dn.net/?f=You~can~%20then~%20apply~%20this~%20to~%20the~%20side%20~of%20~x-1%20~and%20~set~%20up%20~the~%20equation.)
![.75(x-1)=6](https://tex.z-dn.net/?f=.75%28x-1%29%3D6)
![Now,~solving~ the~ equation,~ you~ get~ x=9.~ Substitute~ that~ into~ x-1~ and~ you\\ get~ 8 ~as ~that~ side~ length.~ To~ check, compare:](https://tex.z-dn.net/?f=Now%2C~solving~%20the~%20equation%2C~%20you~%20get~%20x%3D9.~%20Substitute~%20that~%20into~%20x-1~%20and~%20you%5C%5C%20get~%208%20~as%20~that~%20side~%20length.~%20To~%20check%2C%20compare%3A)
![\frac{8}{6}=\frac{32}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B6%7D%3D%5Cfrac%7B32%7D%7B24%7D)
![Thus,~the~value~of~x~is=9.](https://tex.z-dn.net/?f=Thus%2C~the~value~of~x~is%3D9.)
![Hope~my~answer~helps~you!~Have~a~blessed~day~ahead!](https://tex.z-dn.net/?f=Hope~my~answer~helps~you%21~Have~a~blessed~day~ahead%21)
![-Isabelle~Williams](https://tex.z-dn.net/?f=-Isabelle~Williams)
Answer:
-2x+8x
x(-2+8)
6x
Is that what you want? Or do you want it expanded?
Answer:
10
Step-by-step explanation:
((2 + 2 + 4) + 2) x 2 / 2 = (10 x 2) / 2 = 10