Question

Express the sum of the angles of this triangle in two different waysX3/2X1/2X

Answer 1

1) Since the sum of these angles is written in terms of x, we can write it out:

`\begin{gathered} x+(3)/(2)x+(1)/(2)x\text{ } \\ (2x+3x+x)/(2) \\ (6x)/(2) \\ 3x \end{gathered}`

Notice that to sum these fractions we had to take the LCM(2, 1) = 2 and rewrite it as a sum.

2) Another way of writing the sum of these angles is writing it as a sum of decimal numbers since we can rewrite fractions as decimal numbers.

3/2 = 3÷2 = 1.5

1/2 = 1÷2 =0.5

1

`\begin{gathered} x+1.5x+0.5x \\ x+2x \\ 3x \end{gathered}`