Quadrilateral ABCD is inscribed in this circle. What is the measure of angle B?

Question

I got 157, is my answer correct?

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Answer 1 · 2017-05-12T15:04:53

#157^0#

The shape is a cyclic quadrilateral, since all four vertices lie on the
circumference of the circle.

for a cyclic quadrilateral opposite angles add up to #180^0#

we have then

#x+6x+19=180#

#7x=180-19#

#7x=161#

#:.x=23^0#

to find angle B

#< B=6xx23+19#

#< B =138+19=157^0#

you are correct.