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katrin2010 [14]
3 years ago
8

Find the Perimeter of

Mathematics
1 answer:
ki77a [65]3 years ago
3 0

Answer:

78

Step-by-step explanation:

Since the two angles at the bottom are congruent, you would the two equations equal to each other. So it would be:

5x-19=2x+11

Once you simplify, you will find that x= 10.

Then you plug in x for both equations, so 5(10)-19= 31 and 2(10)+11= 31

So you add up the sides: 31+31+16= 78

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dimulka [17.4K]

Answer:

m∠EGF = 65°  and m∠CGF = 115°

Step-by-step explanation:

Given;

∠EFG = 50°

EF = FG

Solution,

In ΔEFG m∠EFG = 50° and EF = FG.

Since triangle is an isosceles triangle hence their base angles are always equal.

∴m\angle FEG = m\angle EGF

Let the measure of ∠EGF  be x.

∴ m\angle FEG = m\angle EGF = x

Now by angle Sum property which states "The sum of all the angles of a triangle is 180°."

m∠EFG + m∠FEG + ∠EGF = 180

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65° + m∠CGF = 180°

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