Question

FENCING X-braces are also used to provide support in rectangular fencing. If AB = 6 feet, AD = 2 feet, and mZDAE = 65°, find m<ZCEB. Round to the nearest tenth, if necessary.​

Answer 1

The measure of angle CEB is 50 degrees

The given parameters are:

• AB = 6 feet
• AD = 2 feet
• Angle DAE = 65 degrees

How to calculate angle CEB

Start by calculating the measure of angle EAB.

$\angle EAB = 90 - \angle DAE$ --- angles at a right-angle

So, we have:

$\angle EAB = 90 - 65$

$\angle EAB = 25$

The measure of angle CEB is then calculated using:

$\angle CEB = 2 \times \angle EAB$

Substitute $\angle EAB = 25$

$\angle CEB = 2 \times 25$

$\angle CEB = 50$

Hence, the measure of angle CEB is 50 degrees

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