mocjau
28.05.2021 •
Mathematics
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Ответ:
uhmm..
Step-by-step explanation:
Ответ:
The measure of ∠DCE is 50 degrees
Step-by-step explanation:
step 1
Find the measure of minor arc DE
we have
m∠DAE = 130°
we know that
m∠DAE=minor arc DE > by central angle
therefore
minor arc DE=130°
step 2
Find the measure of major arc DE
we know that
minor arc DE+major arc DE=360°
we have
minor arc DE=130°
substitute
130°+major arc DE=360°
major arc DE=360°-130°=230°
step 3
Find the measure of ∠DCE
we know that
The measurement of the outer angle is the semi-difference of the arcs which comprises
so
m∠DCE=(1/2)[major arc DE-minor arc DE]
substitute the values
m∠DCE=(1/2)[230°-130°]=50°