"Yes" one of the disciples said "we have five loaves and two fishes but that is not sufficient for this large crowd. WHAT ARE THE MISTAKES IN THIS SENTENCE?

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°