Question

Find the measure of angle CED in the figure below. Enter only the number.

Answer 1

Answer:

∠CED = 58°

Step-by-step explanation:

Clearly, we can see that ∠AED and ∠CED are a linear pair. Therefore:

• ∠AED + ∠CED = 180°

Definition of Linear pair: A linear pair is two angles that form a 180 angle.

We are given that:

• ∠AED = 122°

Therefore, when we substitute the measure of ∠AED, we get;

• 122° + ∠CED = 180°

This problem is now an algebraic problem. Simply isolate ∠CED on one side of the equation to determine the measure of ∠CED. This can be done by subtracting 122 both sides of the equation.

• ∠CED = 180° - 122°
• ∠CED = 58°

Therefore, the measure of ∠CED is 58°.

Answer 2

Answer:

∠ CED = 58°

Step-by-step explanation:

∠ CED and ∠ AED are adjacent angles and sum to 180° , then

∠ CED + 122° = 180° ( subtract 122° from both sides )

∠ CED = 58°