The value of x is 27
In this question, we have been given a line AB and a point O on the line AB.
From figure we can see that, there are linear angles ∠AOM, ∠MON, and ∠NOB
Also, ∠AOM = 36°,
∠MON = 90°, and
∠NOB = 2x
We need to find the value of x.
We know that the sum of linear angles is 180°
⇒ ∠AOM + ∠MON + ∠NOB = 180°
⇒ 36° + 90° + 2x = 180°
⇒ 126° + 2x = 180°
⇒ 2x = 180 - 126°
⇒ 2x = 54°
⇒ x = 27
Therefore, the value of x is 27
Learn more about the linear angles here:
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