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Zielflug [23.3K]
2 years ago
12

Find the measurement of E •56 •132 •51 •63

Mathematics
2 answers:
Burka [1]2 years ago
4 0

Answer:

∠ E = 56°

Step-by-step explanation:

the external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ MGF is an exterior angle of the triangle , then

10x + 12 = 5x - 4 + 76

10x + 12 = 5x + 72 ( subtract 5x from both sides )

5x + 12 = 72 ( subtract 12 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

Then

∠ E = 5x - 4 = 5(12) - 4 = 60 - 4 = 56°

garik1379 [7]2 years ago
4 0

Answer:

56°

Step-by-step explanation:

The exterior angle property states that the exterior angle is equal to the sum of the internal angles not adjacent to it.

Given :

∠E = (5x + 4)°

∠F = 76°

∠FGM =  (10x + 12)°

Solving :

∠E + ∠F = ∠FGM

5x - 4 + 76 = 10x + 12

10x - 5x = 72 - 12

5x = 60

<u>x = 12</u>

<u />

Substitute x in ∠E :

5(12) - 4

60 - 4

56°

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