Answer:
Perimeter: 32
measure of angle OKL: 45
measure of angle MOL: 90
Step-by-step explanation:
Things to remember:
- the side of the square are all equal
- vertical angles are congruent
+ ex. MON and KOL; MOL and NOK
- the entirety of the four angles in the center of the square equal 360 degrees
+ ex. MON + MOL + LOK + KON = 360 degrees
- corners of a square equal 90 degrees and since lines MK and LN cut the square in half we can assume that angles like OKL are also cut in half, making them <u>45 degrees</u>
+ ex. angle NKL (90) = <u>OKL (45) </u>+ OKN (45)
- The four triangles in the square are isosceles
If we have the angles of OML and MLO we can find MOL since the angles of a triangle equal 180
OML (45) + MLO (45) + MOL (x) = 180
90 + x = 180
<u>x = 90</u>