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Big Ideas Math Integrated I, 2016 View details

1. Angles of Triangles

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Exercise 13 Page 592

Consider the Triangle Angle-Sum Theorem.

m∠ 1=52^(∘)
Triangle: Right

Practice makes perfect

Let's analyze the given triangle.

As we can see, one of its angles is a right angle and therefore, it is a right triangle. This allows us to use the Triangle Angle-Sum Theorem, which states that acute angles of a right triangle are complementary. In this case, it means that 38 and m ∠ 1 add up to 90.

38+m∠1=90 By solving this equation, we can find the measure of ∠ 1.

38+m∠1=90

SubEqn

LHS-38=RHS-38

m∠1=52

We found that the measure of ∠ 1 is 52^(∘).