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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

5. Law of Sines

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Exercise 23 Page 526

Congruent angles have equal measures.

8

Practice makes perfect

Consider the given diagram.

Congruent angles have equal measures. From this we know that the given triangle is isosceles, and the two sides are of the same length. Therefore, we can set up an equation to find x. x+5=2x-3 Let's solve this equation.

x+5=2x-3

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Solve for x

LHS-2x=RHS-2x

- x+5=- 3

LHS-5=RHS-5

- x=- 8

.LHS /(-1).=.RHS /(-1).

x=8

Subchapter links

Lesson Check p.524

Practice and Problem-Solving Exercises p.525-526

Standardized Test Prep p.526

Mixed Review p.526