Question

Geometry math question no Guessing and Please show work thank you

Answer 1

Here we use the property, angles opposite to equal sides are equal,

(5x+27)=(45+3x)

5x-3x=45-27

2x =18

x=18/2

x=9

Answer is D. x=9

Answer 2

$m\angle DCA=m\angle BCA\ \text{therefore:}\\\\5x+27=45+3x\ \ \ |-27\\\\5x=18+3x\ \ \ \ |-3x\\\\2x=18\ \ \ \ |:2\\\\x=9$

Answer: 9