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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Cumulative Standards Review

Exercise 16 Page 136

If angles are vertical, then they are congruent.

x=45

Practice makes perfect

To determine x, we should first recognize that the labeled angles below are vertical angles. This means that they are congruent by the Vertical Angles Theorem.

We can equate the expressions for the two angle measures and solve for x.

x/3+5=2x-70

▼

Solve for x

LHS+70=RHS+70

x/3+75=2x

LHS-x/3=RHS-x/3

75=2x-x/3

a = 3* a/3

75=6x/3-x/3

Subtract fractions

75=5x/3

LHS * 3=RHS* 3

225=5x

.LHS /5.=.RHS /5.

45=x

Rearrange equation

x=45

We have found that x=45.

Subchapter links

Exercises p.134-136