Mathematics 0580 · IGCSE · Angles

Angles — practice question

The sketch depicts a smaller triangle DEF, with its vertices positioned on the sides of a larger triangle ABC. The angles labelled are A = 100^{\circ}, B = 50^{\circ}, C = 30^{\circ}, at D = 25^{\circ}, and at F = 45^{\circ} and 35^{\circ}.
(main)[3]

Determine the value of x.

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