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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

1. Angles of Triangles

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Exercise 24 Page 593

What is the sum of the interior angles of a triangle?

10^(∘) and 80^(∘)

Practice makes perfect

First, we will illustrate the given information in a diagram. If we let x be the measure of the smaller acute angle, then the measure of the larger acute angle is 8x.

According to the Corollary to the Triangle Sum Theorem, the acute angles of a right triangle are complementary. 8x+x= 90 Let's solve this equation.

8x+x=90

Add terms

9x=90

.LHS /8.=.RHS /8.

x=10

The measure of the smaller acute angle is x=10. Now, we can find the measure of the greater acute angle. 8x ⇒ 8(10) = 80

Subchapter links

Communicate Your Answer p.587

Monitoring Progress p.588-591

Exercises p.592-594