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Furkat [3]
3 years ago
13

If m∠B = 24°, and m∠D = 46°, what is m∠BEA?

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
3 0

Answer:

The measure of angle BEA is 110\°

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite

so

m

step 1

Find the measure of arc AD

Remember that the inscribed angle is half that of the arc it comprises.

24\°=\frac{1}{2}(arc\ AD)

arc\ AD=48\°

step 2

Find the measure of arc BC

Remember that the inscribed angle is half that of the arc it comprises.

46\°=\frac{1}{2}(arc\ BC)

arc\ BC=92\°

step 3

Find the measure of (arc AB + arc CD)

arc\ AB+arc\ CD=360\°-(arc\ AD+arc\ BC)

arc\ AB+arc\ CD=360\°-(48\°+92\°)

arc\ AB+arc\ CD=220\°

step 4

Find the measure of angle BEA

m

m

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