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Glencoe Math: Course 3, Volume 2

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Glencoe Math: Course 3, Volume 2 View details

3. Angles of Triangles

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Exercise 23 Page 395

By the Angle Sum of a Triangle Rule, the measures of the three interior angles of a triangle add up to $18 0^{\circ} .$

$4 8^{\circ},$ $6 0^{\circ},$ and $7 2^{\circ}$

Practice makes perfect

We are given the ratio for the measures of the angles of

△ X Y Z .

4 : 5 : 6

Using this ratio, we want to find the actual measures of the angles of the triangle. We will let

4 x^{\circ}

represent

m ∠ X .

Then, the measures of the other angles,

m ∠ Y

and

m ∠ Z,

will be represented by

5 x^{\circ}

and

6 x^{\circ} .

By the Angle Sum of a Triangle Rule we know that the measures of the three interior angles of a triangle add up to

18 0^{\circ} .

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Subchapter links

Guided Practice p.392

Independent Practice p.393-394

H.O.T. Problems p.394

Standardized Test Practice p.394-396

Extra Practice p.395

Common Core Review p.396