Answer:
The measure of angle B is [tex]132\°[/tex]
Step-by-step explanation:
step 1
Find the value of x
we know that
In an inscribed quadrilateral, opposite angles are supplementary
so
[tex]x\°+(2x+36)\°=180\°[/tex]
[tex]3x=180\°-36\°[/tex]
[tex]3x=144\°[/tex]
[tex]x=48\°[/tex]
step 2
Find the measure of angle B
[tex]B=(2x+36)\°[/tex]
[tex]B=(2(48)+36)\°=132\°[/tex]
