Help please thanksss!! :)

<H = 84

Step-by-step explanation:

Since the triangles are similar, the angles are equal.

If we find <E, we know <H

<G + <F + <E = 180  since the sum of the angles of a triangle = 180

59+ 37+ <E = 180

Combine like terms

96 + <E = 180

Subtract 96 from each side

96-96 + <E = 180-96

<E =84

Since <E = 84, then <H = 84

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.