GCSE Maths Practice: triangles-and-quadrilaterals

Question 9 of 10

This question reviews the sum of angles in a triangle.

\( \begin{array}{l}\text{What is the sum of the angles in a triangle?}\end{array} \)

Choose one option:

Add the known angles and subtract from 180° to find the missing angle.

In any triangle, the sum of the three interior angles is always 180°. This rule applies to equilateral, isosceles, and scalene triangles. Knowing this property helps calculate missing angles, solve geometric proofs, and work with polygons. For example, in a triangle with two known angles, the third can be found by subtracting the sum of the known angles from 180°. This principle also underpins angle calculations in quadrilaterals, pentagons, and other polygons by dividing them into triangles. Practicing angle sums in triangles improves diagram interpretation, problem-solving, and reasoning skills. This is essential for GCSE exams and for real-life applications such as construction, architecture, and design. Drawing triangles and labeling angles reinforces understanding of this fundamental property.