Question

Find each angle measure in the figure. Write an equation so that the sum of the angles is 180. 4y + 20 + y - 10 = 180 4y (y - 10) 20°

Answer 1

The measure of the angles in the figure are 24°, 136° and 20° respectively.

What is the measure of each angle?

The sum of angles in a triangle is 180°.

4y + 20 + y - 10 = 180°

5y + 10 = 180°

Subtract 10 from both sides

5y = 180 - 10

5y = 170

Divide both sides by 5

y = 170/5

y = 34

Therefore,

4y°

= 4(34)

= 136°

(y - 10)°

= 34 - 10

= 24°

Answer 2

Interior angles of a triangle add up to 180, this imply that

`(y-10)+4y+20=180`

Now, by combining similar terms, we have

`y+4y-10+20=180`

which gives

`5y+10=180`

If we movw +10 to the right hand side as -10, we obtain

`\begin{gathered} 5y=180-10 \\ 5y=170 \end{gathered}`

then, y is equal to

`\begin{gathered} y=(170)/(5) \\ y=34 \end{gathered}`

Now, we can substitute this values in order to find the measure of each angle:

`\begin{gathered} (y-10)\Rightarrow34-10=24 \\ \text{and} \\ 4y\Rightarrow4(34)=136 \end{gathered}`

Therefore, the angles are 24, 136 and 20 degrees.