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

Question

asked Nov 5, 2022 45.5k views

1 Answer

TPS · Answer 1 · 2022-11-09T00:32:41+0000

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.