In cyclic square ABCD measure angle A +measure angle b = 150 and measure angle b + measure angle C = 190 find measure angle d
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a+b=150.................................1
c+b=190..............................2
a+c=180 (cyclic)
1+2
(A+C)+2b=340
180+2b=340
2b=340-180
2b=160
b=80
b+d=180
80+d=180
d=100
c+b=190..............................2
a+c=180 (cyclic)
1+2
(A+C)+2b=340
180+2b=340
2b=340-180
2b=160
b=80
b+d=180
80+d=180
d=100
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