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Solve for the variable to find the missing angles

Solve for the variable to find the missing angles-example-1
User Damany
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1 Answer

1 vote

Answer:

Explanation:

A triangle has 180 degrees.

Don't remember the theorem names, but assuming the line GED is straight, the angle GEF would be 180 - 92 = 88.

Since the triangle GEF must contain 180 degrees:

88 + (27x - 1) + (19x + 1) = 180

You can do Algebra 1 to find:

46x = 92

x = 2

Plugging x into each of the angles EGF and EFG would give:

G = 39

F = 53

User Marek Dominiak
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7.3k points