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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Cumulative Standards Review

Exercise 8 Page 819

The measure of an angle formed by two lines that intersect inside the circle is half the sum of the measures of the intercepted arcs.

I

Practice makes perfect

Consider the given diagram.

Recall that the measure of an angle formed by two lines that intersect inside the circle is half the sum of the measures of the intercepted arcs. On the diagram, we can see that the measures of those arcs are 102^(∘) and 76^(∘). Let's find the value of x!

x=1/2(102+76)

Add terms

x=1/2(178)

MoveRightFacToNumOne

1/b* a = a/b

x=178/2

Calculate quotient

x=89

Therefore the measure of x is 89^(∘), which corresponds to option I.