EmojiQueen123
EmojiQueen123 EmojiQueen123
  • 24-02-2021
  • Mathematics
contestada

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

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

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LadyStrange
LadyStrange LadyStrange
  • 24-02-2021

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.

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