To find the measures of angles M and N in quadrilateral LMNK, we can use the properties of a quadrilateral and the fact that the sum of the interior angles of a quadrilateral is always 360 degrees.
Given:
- Angle K = 67°
- Angle L = 119°
To find the total measure of angles M and N, we first calculate the sum of angles K and L:
Sum of angles K and L = Angle K + Angle L
= 67° + 119°
= 186°
Now, we subtract this sum from the total sum of the angles in the quadrilateral:
Sum of angles M and N = 360° – Sum of angles K and L
= 360° – 186°
= 174°
Since we do not have any further information to indicate that angles M and N are different, we can assume they are equal:
Angle M = Angle N = 174° / 2
= 87°
Therefore, the measures of angles M and N in quadrilateral LMNK are:
- Angle M = 87°
- Angle N = 87°