Please give me the answer and explain how you got it.
1 answer:
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=.
x= 17.
⇒m∠KPN = 4x°.
=4(17)°.
m∠KPN =68°.
Thus the measure of m∠KPN is 68°.
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Answer:
Pythagorean theorem, eh?
Step-by-step explanation:
The way to do this is use the radius-tangent angle theorem thing...
It states that, a radius that intersects a point of tangency(I think that's what it's called) is perpendicular to the tangent. Thus, CW is perpendicular to OW!
Thus, it forms a right triangle, where we can use Pythagorean Theorem!
If you don't know what it is, check the internet! It's pretty simple.
So, there you go! Hope this helps!
NOTE: This answer was recently deleted for violating community guidelines, so I just re-uploaded it!(and edited it) So if you do need more help, do some research!