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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

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Exercise 5 Page 473

Recall that a linear pair is a pair of adjacent angles with non-common opposite sides.

m∠3=137^(∘)

Practice makes perfect

Let's begin with recalling that a linear pair is a pair of adjacent angles with non-common opposite sides.

Remember that the measures of these two angles always have a sum of 180^(∘) as together they create a straight angle. Now, let's look at the given picture.

As we can see, ∠ 3 and 43^(∘) form a linear pair. Therefore, we can write that the sum of the measures of these angles is equal to 180^(∘).

m∠ 3+ 43^(∘)=180^(∘)

LHS-43^(∘)=RHS-43^(∘)

m∠3=180^(∘)-43^(∘)

Subtract term

m∠3=137^(∘)

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