HELP ASAP Angle FGH is a central angle, what is the measure of FH A. 54° B. 108° C. 145° D. 216°

A

Step-by-step explanation:

We can calculate this using circle theorems

The correct circle theorem to use here is that angle at center is 2 times angle at circumference

The angle we want to calculate here is the angle at circumference but we were given the angle at the center

So the value of the angle at the circumference would be 108/2 = 54

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

think the answer would beb