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HI PLEASE HELP WITH #13 and #14

HI PLEASE HELP WITH #13 and #14-example-1
User Guiccbr
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1 Answer

3 votes

Answer:

13. ∠x° = 99°

y° = 108

a ≈ 21.38

14. x° = 99°

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°

User Hasturkun
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6.6k points