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Big Ideas Math Algebra 1, 2015

BI

Big Ideas Math Algebra 1, 2015 View details

Chapter Review

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Exercise 11 Page 44

The sum of all interior angles must equal to 540^(∘).

Value of x: 126
Measures of Angles: 126^(∘), 96^(∘), 126^(∘), 96^(∘), 96^(∘)

Practice makes perfect

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!

pentagon

We can write an equation that adds all of the angles together and is equal to 540^(∘). (x-30)+(x-30)+(x-30)+x+x=540 Solving this equation for x will allow us to find the measure of the unknown angles.

(x-30)+(x-30)+(x-30)+x+x=540

Remove parentheses

x-30+x-30+x-30+x+x=540

Add and subtract terms

5x-90=540

LHS+90=RHS+90

5x=630

.LHS /5.=.RHS /5.

x=126

Finally we can write the unknown angles separately. x^(∘)⇒ 126^(∘) (x-30) ^(∘) ⇒ 126-30= 96 ^(∘)

Subchapter links

Exercises p.44-46