Question

Determine the measure of angle N and angle O in triangle NOR below. List the degree measures from smallest to largest.

Answer 1

Given :

▪︎Measure of ∠R = 90°

▪︎Segment OR = Segment RN

Which will mean, ∠O = ∠N.

Thus :

`=\tt ∠R + ∠O + ∠ + N = 180`

`= \tt90 + x + x = 180`

`=\tt 90 + 2x = 180`

`= \tt2x = 180 - 90`

`=\tt 2x = 90`

`=\tt x = (90)/(2)`

`=\tt x = 45`

Which means :

Measure of ∠O = 45°

Measure of ∠N = 45°

Therefore, the measures of these angles in ascending order = 45,45,90.