Hi I really need help

Answers:

Input the numbers only.

Explanation:

In any rectangle the diagonals are the same length. Also, the diagonals cut each other in half (aka bisect).

This means EI and FI are the same length

EI = FI

4x+5 = 6x+1

4x-6x = 1-5

-2x = -4

x = -4/(-2)

x = 2

This then leads to

Both are 13 units long to help confirm we have the correct x value.

If EI = 13, then EG = 2*EI = 2*13 = 26 since EG is twice as long as EI. This goes back to the fact that the diagonals cut each other in half.

If angle EIH is 100 degrees, then so is angle FIG (they are vertical angles).

Focus on triangle FIG. We just found that angle i = 100. This triangle is isosceles with FI = IG being the two equal sides. The angles opposite these congruent sides are angles F and G. Let's call them x for now.

So we have

The three angles of this triangle add to 180

F+I+G = 180

x+100+x = 180

2x+100 = 180

2x = 180-100

2x = 80

x = 80/2

x = 40

So angle F, of triangle FIG, is 40 degrees

This is the same as saying angle IFG is 40 degrees.

EG = 26 units

angle IFG = 40 degrees

Step-by-step explanation:

this is a very good question

step-by-step explanation:

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