Find angle X on the given figure. m

x = 51°

Step-by-step explanation:

In a rhombus, the diagonals bisect the angles, thus

∠ BAE = ∠ DAE = 39° , then ∠ A = 78°

∠ ADE = ∠ CDE = x , then ∠ D = 2x

In a rhombus, consecutive angles are supplementary

∠ A and ∠ D are consecutive angles , thus

78 + 2x = 180 ( subtract 78 from both sides )

2x = 102 ( divide both sides by 2 )

x = 51°

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2