Find the measure of Angle ADE

30°

Step-by-step explanation:

because the sum of all interior angles in a triangle is 180 degrees

180°= ∡ADE+∡DAE+∡AED

∡ADE = 180°-∡DAE -∡AED

because the diagonals are perpendicular so they form 90° angles, and ∡BRC≅∡AED(vertical angles)

∡AED =90

To find ∡DAE we need to find the value of y

11y+2  =90

11y =90-2

y=88/11

y=8

∡DAE=7y+4=7 ·8 +4= 56+4 =60°

now we know what we need to find ∡ADE

∡ADE = 180°-∡DAE -∡AED

∡ADE = 180°-60° -90°

∡ADE = 30°

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