Triangles Math Example 4

Follow the full solution, then compare it with the other examples linked below.

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The three angles of a triangle are in the ratio

2:3:4

. Find the measure of each angle.

1
Let the angles be $2x$ , $3x$ , and $4x$ . Since triangle angles sum to $180°$ , we have $2x + 3x + 4x = 180$ .
2
Combine like terms: $9x = 180$ , so $x = 20$ .
3
Therefore the angles are $40°$ , $60°$ , and $80°$ .

Answer

40°,\ 60°,\ 80°

Ratio questions use the fact that all interior angles of a triangle total

180°

. Once the common factor is found, each angle follows directly from the ratio.

About Triangles

A polygon with exactly three sides and three interior angles that always sum to exactly 180 degrees.

Two angles of a triangle measure [formula] and [formula]. Find the third angle.

Classify the triangle with sides [formula] cm, [formula] cm, and [formula] cm by its sides and deter

An equilateral triangle has a perimeter of [formula] cm. Find the length of each side.