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3 years ago

What is the measure of EBC ? ___ degrees

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

8 0

Answer:

The measure of arc EBC is 220°

Step-by-step explanation:

step 1

Find out the measure of angle COB

we know that

m∠COB+m∠DOC=90° -----> given problem

we have that

m∠DOC=m arc DC -----> by central angle

m arc DC=50°

m∠DOC=50°

Find m∠COB

m∠COB+50°=90°

m∠COB=40°

step 2

Find out the measure of arc BC

we have that

m arc BC=m∠COB -----> by central angle

m∠COB=40°

therefore

m arc BC=40°

step 3

Find out the measure of arc EBC

we know that

m arc EBC=m arc EB+m arc BC

m arc EB=180° -----> because the diameter divide the circle into two equal parts

m arc EBC=180°+40°=220°

Finger [1]3 years ago

6 0

Answer:D

Step-by-step explanation:

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