AQA · Mathematics · 8300
GCSE Maths: Angles: quadrilaterals
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Angles: quadrilaterals (Corbettmaths Video 33), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What is the sum of the interior angles of any quadrilateral?
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360°
What is the sum of the interior angles of any triangle?
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180°
In a parallelogram, what is the relationship between opposite angles?
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Opposite angles are equal.
In an isosceles triangle, what is special about two of the angles?
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Two angles are equal (the base angles, opposite the equal sides).
Can a triangle have two obtuse angles?
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No. Two obtuse angles (each >90°) would sum to more than 180°, exceeding the triangle's total angle sum.
Can a triangle have a reflex angle?
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No. A reflex angle (>180°) alone exceeds the total angle sum of a triangle (180°).
If an isosceles triangle has one angle of 84°, what are the two possible pairs for the other angles?
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Either (84°, 12°) if 84° is a base angle, or (48°, 48°) if 84° is the vertex angle.
What are the angle properties of a kite?
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One pair of opposite angles are equal (the angles where unequal sides meet).
If the three angles in a triangle are in the ratio 2:6:7, what is the size of the smallest angle?
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24°. (The ratio parts sum to 15, so each part = 180°/15 = 12°, and the smallest angle = 2 × 12° = 24°)
In a parallelogram, what is the relationship between consecutive angles?
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Consecutive angles are supplementary (they sum to 180°).
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