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x = 10°

y = 14

Step-by-step explanation:

Angle A = angle B = angle C = 6x ( equilateral triangle has equal angles )

therefore

Angle A + Angle B + angle C = 180° ( sum of angle in a triangle)

6x + 6x + 6x = 180

18x = 180°

divide both sides by 18

x = 10°

to get y

side AC = AB = BC ( equilateral triangle has equal sides )

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus