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Solve for X, please give a brief run-over on how you got there.

Solve for X, please give a brief run-over on how you got there.-example-1
User PaulBarr
by
7.6k points

1 Answer

1 vote

Answer:

x = 31.5

Explanation:

The triangle on the left has 2 congruent sides and is therefore isosceles.

Thus the 2 base angles are congruent with measure


(180-54)/(2) =
(126)/(2) = 63

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

The triangle on the right is also isosceles with base angles of measure x

63° is an external angle of the triangle on the right, thus

x + x = 63

2x = 63 ( divide both sides by 2 )

x = 31.5

User Fire Crow
by
8.5k points