Answer: 23 degrees
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Explanation:
Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC. The reason why is because they both cut off the minor arc AC
Angle ABC is given to be 46 degrees, the formula we use is shown below
central angle = 2*(inscribed angle)
angle ABC = 2*(angle ADC)
46 = 2*(angle ADC)
46/2 = 2*(angle ADC)/2 ... divide both sides by 2
23 = angle ADC
angle ADC = 23 degrees
Division phrases:
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Y+x=98
y-x=22
I'm going to use elimination.
y+x=98
y-x=22
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2y+0x=120 SIMPLIFY 2y=120 SIMPLIFY y=60.
Substitute that into either equation and you get y=60 and x=38
Have a nice day! :)
