Question

If one angle of a triangle is 100 and the other two are what is the measure of each unknown angle

Answer 1

Step-by-step explanation

The sum of the three internal angles of a triangle is always equal to 180°. Let's use x for the measure of each of the missing angles. Then the sum of the three angles of triangle ABC is expressed as x+x+100°=2x+100°. If we equalize this expression to 180° we obtain an equation for x:

`2x+100=180`

We can substract 100 from both sides of the equation:

`\begin{gathered} 2x+100-100=180-100 \\ 2x=80 \end{gathered}`

Then we divide both sides by 2:

`\begin{gathered} (2x)/(2)=(80)/(2) \\ x=40 \end{gathered}`Answer

Then the answer is 40.