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3 years ago

If GHJ is an equilateral triangle, Gh=5x-13, HJ=11x-61, and GJ=7x-29, find x and the measure of each angle.

Mathematics

1 answer:

Natalka [10]3 years ago

3 0

Answer:

x = 8

Step-by-step explanation:

Since the triangle is equilateral, then the 3 sides are congruent.

Equate any 2 sides and solve for x, that is

7x - 29 = 5x - 13 ( subtract 5x from both sides )

2x - 29 = - 13 ( add 29 to both sides )

2x = 16 ( divide both sides by 2 )

x = 8

The triangle is equilateral, thus the 3 angles are congruent, thus

The measure of each angle is 60°

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