ChannelE160580 ChannelE160580
  • 25-10-2022
  • Mathematics
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In the right triangle, what is the measure of KMH?

In the right triangle what is the measure of KMH class=

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NatividadF570211 NatividadF570211
  • 25-10-2022

Since interior angles of any triangle add up to 180 degrees, we have

[tex]\angle MKH+\angle KHM+\angle KMH=180[/tex]

Now, by substituting the given values, we get

[tex]90+51.6+\angle KMH=180[/tex]

which gives

[tex]141.6+\angle KMH=180[/tex]

Then, by subtracting 141.6 to both sides, we have

[tex]\angle KMH=38.4[/tex]

Then, by comparing with the given options, the answer is the last option.

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