What is the value of c, d, a, and b?

a=101

b=67

c=84

d=80

Step-by-step explanation:

The measure of an intercepted arc will always be twice the measure of the inscribed angle

to find A:

2(100)=a+99

200=a+99

a=101 degrees

d=80 degrees because 100*2=200, 360-200=160, and 160/2=80

You can find c by subtracting 100, 96, and 80 from 360 and you get c=84 degrees

Find the measure of b by using what you found as measure of c and a

2(84)=101+b

168=101+b

b=67

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b