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Big Ideas Math Integrated I, 2016 View details

1. Angles of Triangles

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Exercise 33 Page 593

Consider the Corollary to the Triangle Sum Theorem.

40^(∘)

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From previous exercises, we know that the measure of ∠ 3 is 50^(∘)

According to the Corollary to the Triangle Sum Theorem, the acute angles of a right triangle are complementary. Therefore, to find the measure of ∠ 5, we can write the following equation. 50^(∘)+m∠ 5=90^(∘) By solving the equation for m∠ 5, we can find the measure of ∠ 5.

50^(∘)+m∠ 5=90^(∘)

SubEqn

LHS-50^(∘)=RHS-50^(∘)

m∠ 5=40^(∘)

The measure of ∠ 5 is 40^(∘).