ABC is a triangle.
work out angle x. give your answer to 3 significant figures.

x = 50.5°

Step-by-step explanation:

∠ BDC and ∠ BDA are adjacent and supplementary, thus

∠ BDC = 180° - 78° = 102°

Calculate ∠ BCD using the Sine rule in Δ ABC, that is

= ( cross- multiply )

9.3 × sinC = 5.6 × sin50° ( divide both sides by 9.3 )

sinC = ≈ 0.4613, thus

C = (0.4613 ) ≈ 27.5°

The sum of the 3 angles in Δ BCD = 180°, thus

x = 180° - (102 + 27.5)° = 180° - 129.5° = 50.5°

(-5,-28)

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step-by-step explanation: