ABCD is a rectangle with BC =63 and AB = 84. Find each measure.

8. 90°

9. 18°

10. 18°

11. 105

11.75

Step-by-step explanation:

From the diagram, the triangle can be divided into two parts.

Let's assume the LHS and RHS. The LHS has triangle with hypotenuse of 10, opposite of 9 and adjacent of X.

Using Pythagoras theorem, we can solve for X.

a² + b² = c²

Where,

a = side of right triangle

b = side of right triangle

c = hypotenuse.

a =9, b = X , c = 10

9² + b² = 10²

81 + b² = 100

Subtracting 81 from both sides,

b² = 100 - 81

b² = 19

b = ✓19

b = 4.35889894

Applying the same principle to the triangle on the RHS, we have,

a = X, b = 4.35889894, c = 12.5

x² + 4.35889894² = 12.5²

x² + 19 = 156.25

Subtracting 19 from both sides,

x² = 156.25 - 19

x² = 137.25

x = ✓137.25

x = 11.75.