Chapter Review
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The sum of all interior angles must equal to 540^(∘).
Value of x: 126
Measures of Angles: 126^(∘), 96^(∘), 126^(∘), 96^(∘), 96^(∘)
It is given that the sum of all interior angles in the given pentagon is 540^(∘). 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 540^(∘).
Remove parentheses
Add and subtract terms
LHS+90=RHS+90
.LHS /5.=.RHS /5.
Finally we can write the unknown angles separately. x^(∘)⇒ 126^(∘) (x-30) ^(∘) ⇒ 126-30= 96 ^(∘)