AQA · Mathematics · 8300
GCSE Maths: Angles: triangle
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Angles: triangle (Corbettmaths Video 37), 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 three interior angles in any triangle?
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180°
How many equal sides does an isosceles triangle have?
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Two equal sides (and therefore two equal angles).
In an isosceles triangle, which angles are equal?
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The two angles opposite the equal sides (called the base angles).
Can a triangle have two obtuse angles?
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No. Two obtuse angles would sum to more than 180°, but all three angles in a triangle must sum to exactly 180°.
Can a triangle contain a reflex angle?
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No. A reflex angle is greater than 180°, but all three angles in a triangle must sum to exactly 180°.
What are the angles in a right-angled isosceles triangle?
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90°, 45°, and 45°
If angles in a triangle are in the ratio 1:2:3, what are the three angles?
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30°, 60°, and 90°. (The parts sum to 6, so each part is 180° ÷ 6 = 30°)
If angles in a triangle are in the ratio 2:3:5, what is the smallest angle?
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36°. (The parts sum to 10, so each part is 180° ÷ 10 = 18°; the smallest is 2 × 18° = 36°)
If angles in a triangle are in the ratio 2:6:7, what is the smallest angle?
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24°. (The parts sum to 15, so each part is 180° ÷ 15 = 12°; the smallest is 2 × 12° = 24°)
If an isosceles triangle has one angle of 84°, what are the two possible pairs of other angles?
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Either 84° and 12° (if 84° is a base angle), or 48° and 48° (if 84° is the vertex angle).
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