Answer:
angle c = 83 degrees
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral add up to 180 degrees.
According to the rule, <D and <B add up to 180° and same for <A and C.
This means that the sum of (x + 100) and (3x) equal 180.
Therefore (x + 100) + (3x) = 180 →
4x + 100 = 180
–100 –100
4x = 80
÷4 ÷4
x = 20.
Since x = 20, <A = 5x – 3 = 5(20) – 3 = 97.
Since <A + <C = 180.
97 + <C = 180 → 97 + <C = 180
–97 –97
<C = 180 – 97 = 83°
