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Given: DCO = 25^. O is the centre of the circle. A, B, C, D, E are points on the circumference.

Mathematics

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Part 9

Given: ∠DC^O=25∘\angle D\hat{C}O = 25^\circ. O is the centre of the circle. A, B, C, D, E are points on the circumference.

Part 9.1· 2 steps

Calculate D^1\hat{D}_1

  1. Identify the type of triangle △DOC\triangle DOC.

    In △DOC\triangle DOC, ODOD and OCOC are radii of the circle.
    Therefore, OD=OCOD = OC.
    This means △DOC\triangle DOC is an isosceles triangle.

  2. Determine D^1\hat{D}_1.

    In an isosceles triangle, the angles opposite the equal sides are equal.

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