Answer:
133
Step-by-step explanation:
Given is a cyclic quadrilateral ABCD.
We know that in a cyclic quadrilateral, opposite angles are supplementary.
A+C =180
Given that A = 4x+5 and C = x+15
Add these and equate to 180
[tex]4x+5+x+15 =1805x=180-20 =160x=32A= 4(32)+5 =133[/tex]
Verify:
When x= 32, Angle C = 47
A+C = 133+47 = 180
Hence right answer
