Given:
Given that the isosceles trapezoid JKLM.
The measure of ∠K is 118°
We need to determine the measure of each angle.
Measure of ∠L:
By the property of isosceles trapezoid, we have;
[tex]\angle K+\angle L=180^{\circ}[/tex]
[tex]118^{\circ}+\angle L=180^{\circ}[/tex]
[tex]\angle L=62^{\circ}[/tex]
Thus, the measure of ∠L is 62°
Measure of ∠M:
By the property of isosceles trapezoid, we have;
[tex]\angle L \cong \angle M[/tex]
Substituting the value, we get;
[tex]62^{\circ}=\angle M[/tex]
Thus, the measure of ∠M is 62°
Measure of ∠J:
By the property of isosceles trapezoid, we have;
[tex]\angle J \cong \angle K[/tex]
Substituting the value, we get;
[tex]\angle J =118^{\circ}[/tex]
Thus, the measure of ∠J is 118°
Hence, the measures of each angles of the isosceles trapezoid are ∠K = 118°, ∠L = 62°, ∠M = 62° and ∠J = 118°
