Given :
▪︎Measure of ∠R = 90°
▪︎Segment OR = Segment RN
Which will mean, ∠O = ∠N.
Thus :
[tex] =\tt ∠R + ∠O + ∠ + N = 180[/tex]
[tex] = \tt90 + x + x = 180[/tex]
[tex] =\tt 90 + 2x = 180[/tex]
[tex] = \tt2x = 180 - 90[/tex]
[tex] =\tt 2x = 90[/tex]
[tex] =\tt x = \frac{90}{2} [/tex]
[tex] =\tt x = 45[/tex]
Which means :
Measure of ∠O = 45°
Measure of ∠N = 45°
Therefore, the measures of these angles in ascending order = 45,45,90.
