Value of x: 10 Measures of Angles: 110^(∘), 50^(∘), 20^(∘)
Practice makes perfect
We are given that the sum of the interior angles of the given triangle is 180^(∘). Let's take a look at the given figure!
We can write an equation that adds all of the angles together and is equal to 180^(∘).
110^(∘)+5x^(∘)+2x^(∘)=180^(∘)
By solving this equation for x, we will be able to find the measure of the two missing angles.
We know now that the value of x is 10 and we also know the value of one of the angles, 110^(∘). To find the value of the two missing angles, we substitute 10 for x in 5x and in 2x.
5x^(∘) ⇒ 5* 10^(∘)= 50^(∘)
2x^(∘) ⇒ 2* 10^(∘)= 20^(∘)
Therefore, the two missing angles are 50^(∘) and 20^(∘).
