Given abcd: efgh what is the measure of h

Option a. 56°

Step-by-step explanation:

Two given figures ABCD and EFGH are given to be similar so their corresponding sides will be in the same ratio but their corresponding angles will be same.

Since side AB is similar to EF, Side BC is similar to GF, Side GH is similar to CD and Side EH is similar to AD.

So the corresponding ∠ADC = ∠EHG

Since the measure of ∠ADC = 56° so ∠EHG will be same as 56°

Option a. 56° is the correct answer.

it should be a and d. lmk if i'm wrong xd

(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