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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Proving Segment Relationships

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Exercise 34 Page 298

The sum of the measures of the angles is equal to 90 ^(∘).

x=7

Practice makes perfect

We have been asked to find the value of x. Notice that the right angle symbol indicates that the given angles are complementary angles.

Therefore, the sum of the measures of the angles is equal to 90. With this information, we can write an equation to express this relationship. ( 5x-2)+( 8x+1)=90 Let's find the value of x by solving this equation.

(5x-2)+(8x+1)=90

Remove parentheses

5x-2+8x+1=90

Add and subtract terms

13x-1=90

LHS+1=RHS+1

13x=91

.LHS /13.=.RHS /13.

x=7

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Exercises p.295-298