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Gala2k [10]
3 years ago
13

Please give me the answer and explain how you got it.

Mathematics
1 answer:
gogolik [260]3 years ago
5 0

The measure of m∠KPN is 68°.

<u>Step-by-step explanation:</u>

From the given diagram, we are given with lines passing through a point P creating different angles.

Data given,

m∠KPN = 4x°.

m∠NPO = (x+5)°.

And m∠KPO= 90°.

The m∠KPO is spitted into m∠KPN and m∠NPO.

Thus the sum of m∠KPN and m∠NPO will be m∠KPO.

⇒m∠KPN + m∠NPO =m∠KPO.

Substitute the values to find x value.

4x°+(x+5)°= 90°.

(°5x+5)=90°.

5x°=90°-5°.

5x°=85°.

x=(\frac{85}{5} ).

x= 17.

⇒m∠KPN = 4x°.

=4(17)°.

m∠KPN =68°.

Thus the measure of m∠KPN is 68°.

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