Final answer:
To find each angle in the isosceles triangle CDE with given expressions for angles D and E, we equate the expressions and solve for 'x'. Substituting 'x' back into the expressions will give us the degree measure of each angle.
Step-by-step explanation:
The subject of this question is related to angles in an isosceles triangle. Given an isosceles triangle CDE with base DC, we have two angles at D and E described by the expressions (5x +15)° and (2x +66)° respectively. Since the triangle is isosceles, these two angles must be equal. We set the angles equal to each other to solve for 'x' and subsequently find the measure of each angle in the triangle. After solving for 'x', we can substitute it back into the expressions to get the degree measure of each angle.
Another important concept to remember is that the sum of angles in any triangle is always equal to 180 degrees, which provides an additional way to check our work or solve for the angles.