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What is the measure of JHN?
25°, 45°, 50°, 95°
![What is the measure of JHN? 25°, 45°, 50°, 95°](https://d138zd1ktt9iqe.cloudfront.net/media/seo_landing_files/what-is-the-measure-of-jhn-1654842052.png)
Solution:
Given KHN is x + 25 and NHJ is x + 20
JHK and MHL are vertically opposite angles,
Hence both angles should be equal.
JHK = JHN + NHK
= x + 20 + x + 25
= 2x + 45
MHL = 3x + 20
Since JHK = MHL
Therefore,
3x + 20 = 2x + 45
x = 25
So,
JHN = x + 20 = 25 + 20 = 45
What is the measure of JHN? 25°, 45°, 50°, 95°
Summary:
The measure of JHN is 45°.
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