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Dmitry_Shevchenko [17]
3 years ago
8

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

Mathematics
1 answer:
RoseWind [281]3 years ago
3 0

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 =  \frac{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.

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