Answer:
13. ∠x° = 99°
y° = 108
a ≈ 21.38
14. x° = 99°
Step-by-step explanation:
The given diagram is the diagram of a kite, therefore, we have;
One Pair of opposite angles are equal
Therefore, ∠x° = 99°
y° = 360 - 2 × 99 - 54 = 108
The base angles are;
(180 - 108)/2 = 36°
Similarly we have;
The side opposite ∠54° = 12 × 2 × cos(36°) ≈ 19.416
a/sin(63°) = 19.416/sin(54°)
a = sin(63°) × 19.416/sin(54°) ≈ 21.38
14. x° = 99°
