Determine the value of x.

x = 6

Step-by-step explanation:

Note the triangle is a right- isosceles, with equal legs = 6

Using Pythagoras' identity on the right triangle.

x² = 6² + 6² = 36 + 36 = 72 ( take the square root of both sides )

x = = = × = 6

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh