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°.
You might be interested in
Answer: 0.796 meters
Step-by-step explanation:
Circumference of circle = , where r=radius
Here, Circumference of loop = 2.5 meters
i.e.
Diameter = 2r = 2(0.398) = 0.796 meters
Hence, The diameter of Taiga's exercise hoop = 0.796 meters
Answer:
Step-by-step explanation:
Distribute the negative sign. This basically changes all the signs inside the parentheses.
Combine like terms;