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:
Please find attached the drawing of quadrilateral KLMN created with MS Whiteboard using the Ink to Shape command
(a) Two pairs of opposite sides are ,
and
,
(b) Two pairs of opposite angles are ∠LKN, ∠LMN, and ∠KLM and ∠KNM
(c) Two pairs of adjacent sides are ,
and
,
(d) Two pairs of adjacent angles are ∠LKN, ∠KLM and ∠LMN, ∠KNM
Step-by-step explanation:
