Find the size of angle AED

give us some shape and which type of angl3 this was acute angle or some other angle

Step-by-step explanation:

The measure of angle AED is 173°

Step-by-step explanation:

Given

The figure above

Required

Calculate <AED

To calculate <AED, we follow the highlighted steps.

1. Calculate angle DEC in triangle DEC.

The angles in ∆DEC are <DEC, <ECD and <CDE where

<ECD = 37° and <CDE = 96°

THE SUM OF ANGLES IN A TRIANGLE IS 180°.

i.e.

<DEC + <ECD + <CDE = 180°

By substituting <ECD = 37° and <CDE = 96°, we have

<DEC + 37° + 96° = 180°

<DEC + 133° = 180°

<DEC = 180° - 133°

<DEC = 47°

2. Calculate angle CEB in triangle CEB.

The angles in ∆CEB are <CEB, <EBC and <BCE where

<EBC = 73° and <BCE = 79°

THE SUM OF ANGLES IN A TRIANGLE IS 180°.

i.e.

<CEB + <EBC + <BCE = 180°

By substituting <EBC = 73° and <BCE = 79°, we have

<CEB + 73° + 79° = 180°

<CEB + 152° = 180°

<CEB = 180° - 152°

<CEB = 28°

3. Calculate <AED

This calculated by taking the sum of angles are point E.

The angles at point E are <AED, <AEB, <CEB and <DEC.

Where <AEB = 112°, <CEB = 28°, <DEC = 47°

Recall that sum of angles at a point is 360°.

So,

<AED + <AEB + <CEB + <DEC = 360

By substituting <AEB = 112°, <CEB = 28°, <DEC = 47°, we have

<AED + 112° + 28° + 47° = 360

<AED + 187° = 360°

<AED = 360° - 187°

<AED = 173°.

Hence, the measure of angle AED is 173°

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step-by-step explanation: