Question

in exercises 5 and 6, find the measure of each angle in the isosceles trapezoid. (see exampl5.

6.

Explanation:

Step1: Recall isosceles trapezoid properties

In an isosceles trapezoid, consecutive angles between the bases are supplementary, and base angles are congruent.
---

For Exercise 5:

Step2: Identify congruent angles

$\angle K = \angle L = 118^\circ$ (base angles are congruent)

Step3: Calculate supplementary angles

$\angle J = 180^\circ - 118^\circ = 62^\circ$
$\angle M = \angle J = 62^\circ$ (base angles are congruent)
---

For Exercise 6:

Step4: Identify congruent angles

$\angle S = \angle T = 82^\circ$ (base angles are congruent)

Step5: Calculate supplementary angles

$\angle R = 180^\circ - 82^\circ = 98^\circ$
$\angle Q = \angle R = 98^\circ$ (base angles are congruent)

Answer:

Exercise 5: $\angle K = 118^\circ$, $\angle L = 118^\circ$, $\angle J = 62^\circ$, $\angle M = 62^\circ$
Exercise 6: $\angle S = 82^\circ$, $\angle T = 82^\circ$, $\angle R = 98^\circ$, $\angle Q = 98^\circ$