Figure JKLM is a kite. Angle J is 78 degrees, angle M is 118 degrees, and angle L is 46 degrees. What is the measure of angle K?

Solution:

Given, angle J is 78 degrees

Angle M is 118 degrees

Angle L is 46 degrees.

We have to find the measure of angle K.

JKLM is a kite. This implies JKLM is a quadrilateral.

So, the sum of all angles of a quadrilateral is equal to 360 degrees.

∠J + ∠K + ∠L + ∠M = 360°

78° + 118° + 46° + ∠K = 360°

242° + ∠K = 360°

∠K = 360° - 242°

∠K = 118°

Therefore, the measure of angle K is 118°

Figure JKLM is a kite. Angle J is 78 degrees, angle M is 118 degrees, and angle L is 46 degrees. What is the measure of angle K?

Summary:

Figure JKLM is a kite. Angle J is 78 degrees, angle M is 118 degrees, and angle L is 46 degrees. The measure of angle K is 118°.