GCSE Secondary Maths Age 13-17 - Algebra: Algebraic - Problem - Explained

The video tutorial guides students through solving a geometry problem involving angles in a triangle. The teacher explains how to interpret the problem, set up an equation, and solve it step by step. The largest angle is four times the smallest, and the third angle is 27 degrees less than the largest. By setting up a linear equation, the teacher finds the angles to be 23, 65, and 92 degrees. The tutorial emphasizes careful reading, diagramming, and logical reasoning to solve complex problems.

What is the relationship between the largest and smallest angles in the triangle?

• The largest angle is twice the smallest angle.

• The largest angle is three times the smallest angle.

• The largest angle is four times the smallest angle.

• The largest angle is five times the smallest angle.

How is the third angle related to the largest angle?

• It is half of the largest angle.

• It is equal to the largest angle.

• It is 27 degrees less than the largest angle.

• It is 27 degrees more than the largest angle.

What variable is used to represent the smallest angle?

• Y

• Z

• X

• A

What is the sum of the angles in a triangle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

What is the value of the smallest angle in the triangle?

• 27 degrees

• 92 degrees

• 65 degrees

• 23 degrees

What is the value of the largest angle in the triangle?

• 23 degrees

• 27 degrees

• 65 degrees

• 92 degrees

What is the value of the third angle in the triangle?

• 92 degrees

• 27 degrees

• 23 degrees

• 65 degrees