Question

a shelf is in the shape of a triangle. find the angle of the triangle if the measure of the angles are in the ratio of x:x:4x.x=4x=

Answer 1

30°, 30° and 120°

Step-by-step explanation

We want to find the measures of the angles of the triangle if the ratio of the angles is x : x : 4x

In other words, the ratio is 1 : 1 : 4

The total angle in a triangle is 180°.

Therefore, we have to find the value of x. To do this, we first find the total ratio:

`\begin{gathered} 1+1+4 \\ =6 \end{gathered}`

Now, find x by apply ratios. x is equal to 1/6 of the total angle of the triangle:

`\begin{gathered} x=(1)/(6)\cdot180 \\ x=30\degree \end{gathered}`

Now, find 4x:

`\begin{gathered} 4\cdot x=4\cdot30 \\ =120\degree \end{gathered}`

Therefore, the ratio of angles is:

`30\degree\colon30\degree\colon120\degree`

In other words, the angles are 30°, 30° and 120°.