Quadrilateral JKLN is a rhombus with diagonals JL and KM. Find m<3
To find the measure of angle 3 (<3) in rhombus JKLN, we need to consider some properties of rhombuses.
A rhombus is a quadrilateral with four equal sides. Additionally, the diagonals of a rhombus bisect each other at right angles. Therefore, angle 3 is half of one of the interior angles formed by the intersection of diagonals JL and KM.
Now, to find angle 3, we can examine the properties of the diagonals:
1. Diagonals JL and KM bisect each other at a right angle. This means that the angle formed at the intersection of the diagonals is a right angle, which measures 90 degrees.
2. Angle 3 is half of the angle at the intersection of the diagonals. Since the angle at the intersection of the diagonals is a right angle (90 degrees), angle 3 is half of 90 degrees.
Therefore, angle 3 (<3) measures 90 degrees divided by 2, which gives us an angle measure of 45 degrees.