Practice ECAT questions with answers and explanations.
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The exterior angles of any polygon sum to 360°.
For a regular octagon, each is 360° ÷ 8 = 45°.
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The common ratio is 3, so a₆ = 2 × 3⁵.
This equals 2 × 243 = 486.
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The number of diagonals is n(n - 3)/2.
For n = 6, this gives 6 × 3 ÷ 2 = 9.
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Substitute x = 5 into the function.
Then f(5) = 2(5) + 1 = 11.
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An angle subtended by a diameter at the circumference is a right angle.
This result is known as Thales' theorem.
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The three interior angles of every Euclidean triangle sum to 180°.
This is a fundamental angle property.
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The diameter is twice the radius.
Thus, 2 × 7 = 14 cm.
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Triangle angles sum to 180°.
The third angle is 180° - 45° - 65° = 70°.
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One complete revolution corresponds to 360 degrees.
Therefore, the central angle of a full circle is 360°.
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All three angles are equal and their sum is 180°.
Therefore, each angle is 180° ÷ 3 = 60°.
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A tangent to a circle is perpendicular to the radius drawn to the contact point.
The angle between them is 90°.
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Equal sides in an isosceles triangle face equal angles.
This is the base-angle theorem.
