GCSE Maths Practice: angles

Half of a right angle is 45°. Right angles are 90°, so dividing by 2 gives 45°. This is important in geometry, especially in isosceles right triangles where the two smaller angles are equal and each measures 45°. Recognizing half of a right angle helps with angle construction, understanding symmetry, and calculating complementary angles. For instance, in squares and rectangles, diagonal lines create 45° angles with the sides. Practicing identifying and calculating half-right angles is essential for solving geometry problems and for accurate diagram drawing. Familiarity with 45° also prepares students for trigonometry basics where 45° angles are often used for sine, cosine, and tangent ratios. Visualizing half of a right angle can be done by drawing a square and cutting the corner in half diagonally; the resulting angle is 45°. Repetition and diagram practice reinforce this understanding.