Question

The smallest angle of a triangle is measure x degrees. The second angle is 45 degrees more than the smallest angle. The third angle is three times larger as the smallest angle. Write algebraic expression to express measures of the second and third angles of the triangle.

Answer 1

Smallest angle = 27°

Second angle = 72°

Third angle = 81°

Explanation:

Given:

In triangle

Smallest angle = x

Second angle = x + 45

Third angle = 3x

Find:

All angle

Computation:

Using angle sum property

x + x + 45 + 3x = 180

5x + 45 = 180

x = 27

Smallest angle = 27°

Second angle = x + 45

Second angle = 27 + 45

Second angle = 72°

Third angle = 3x

Third angle = 3(27)

Third angle = 81°