Max Maths, Year 6, Maths Challenge, Angles in a triangle

In the Max Maths Year 6 Maths Challenge, students are faced with the task of identifying missing angles within different types of triangles. One of the challenges requires finding the missing angle in a right-angled triangle. With the knowledge that the sum of angles in any triangle is 180°, and given that one angle (a) is 30° and another (c) is a right angle at 90°, students can calculate the missing angle (b) by subtracting the known angles from 180°. After performing the calculations, the result is that the missing angle b is 60°, completing the triangle's set of angles.

Another challenge involves an isosceles triangle, where two angles (f and g) are equal. Given that the third angle (h) is 26°, students use the fact that the sum of angles in a triangle is 180° to find the value of the two equal angles. By subtracting the known angle from 180°, the sum of the two equal angles is found to be 154°. Since f and g are equal, each is calculated by dividing this sum by 2, resulting in both f and g being 77°. The Maths Challenge also includes a problem where Samir claims a triangle is equilateral based on two angles measuring 60° each. Students must consider whether Samir's assertion is correct, understanding that an equilateral triangle has all angles equal. Finally, students are tasked with finding the unknown angle d in another triangle, applying their knowledge of angles and the properties of triangles to solve the problem.