AQA · Mathematics · 8300
GCSE Maths: Angles: full circle (at a point)
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Angles: full circle (at a point) (Corbettmaths Video 30), 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 angles in a quadrilateral?
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360°
What is the sum of angles in a triangle?
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180°
What property do the two base angles of an isosceles triangle have?
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They are equal in size.
Can a triangle have two obtuse angles?
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No. Two obtuse angles (each greater than 90°) would sum to more than 180°, exceeding the triangle angle sum.
Can a triangle have a reflex angle?
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No. A reflex angle (greater than 180°) alone would exceed the total angle sum of a triangle (180°).
What are the three angles in a right-angled triangle if one angle is 90°?
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One angle is 90°, and the other two angles must sum to 90° (they are complementary).
What is the sum of angles around a point?
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360°
What is the sum of angles on a straight line?
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180°
If an isosceles triangle has one angle of 84°, what are the two possible pairs of other angles?
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Either both base angles are 48° each (if 84° is the apex), or the other two angles are 84° and 12° (if 84° is a base angle).
What property do opposite angles in a parallelogram have?
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They are equal in size.
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 represents 180°/15 = 12°, making the smallest angle 2 × 12° = 24°.
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