Two isosceles triangles have congruent vertex angles. explain why the two triangles must be similar .

they are always similar because if the vertex of one is congruent to the vertex angle of another.

Step-by-step explanation:

let the congruent vertex angles have measure x. in any triangle the three angles have to add up to 180 so the base angle has to add up to 180-x in both triangles. in a isosceles triangle the base angles are congruent so each base angle has to measure (180-x)/2 in both triangles. therefore all three angle of the 2 triangles are congruent so the triangles must be similar by AA.

the answer is a

step-by-step explanation:

because if you put 1 in to the square root of x it equals 300.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i