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2 years ago

Figure ABCD - Figure EFGH

Mathematics

1 answer:

Colt1911 [192]2 years ago

4 0

<h3>Answer:</h3>

30.5 units

<h3>Step-by-step explanation:</h3>

We know that:

Trapezoid ABCD has one side that is 25 unit.
The other 3 sides (AB, BC, and CD) are 12 units.
EF = 6 units
EH = 12.5
Trapezoid ABCD is congruent to Trapezoid EFGH

If the 3 sides of the trapezoid ABCD are the same sides, then side EF, FG, GH must be of the same length because of congruence. The value of FG and GH must be the same length as EF. We can clearly see in the picture that EF is 6 units. Hence, EF is 6 units, FG is 6 units, and GH is 6 units. The work of the perimeter is shown below.

Work

=> 6(3) + 12.5
=> 18 + 12.5
=> 30.5 units

Hence, the perimeter of EFGH is 30.5 units.

$BrainiacUser1357$

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For ∠4.

∠4 and ∠2 makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

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Substituting the values of of angle 2 to find angle 4 we get;

$65\°+ \angle 4 = 180\°\\\\ \angle 4 = 180\°-65\°\\\\\angle 4= 115\°$

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For ∠5.

∠4 and ∠5 makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

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Substituting the values of of angle 4 to find angle 5 we get;

$115\°+ \angle 5 = 180\°\\\\ \angle 5 = 180\°-115\°\\\\\angle 5= 65\°$

Thus the measure of ∠5 is 65°.

Hence:

The measure of ∠1 is 65°.

The measure of ∠2 is 65°.

The measure of ∠3 is 50°.

The measure of ∠4 is 115°.

The measure of ∠5 is 65°.

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