Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Find the value of x. Then classify the triangle by its angle measures.

The value of x is $x = 65 °$ , and the triangle is a scalene right-angled triangle.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

One angle of the triangle is $25 °$ .

Second angle is given as $x °$ .

Third angle is given as $(x + 25) °$ .

Step 2. Formula.

Sum of all angles of a triangle is $180 °$ .

Step 3. Calculation.

The sum of all the angles of a triangle is $180 °$ .

This gives us,

$x + (x + 25) {}^{\circ}+ 25 {}^{\circ}= 180 °$

Add both x and both numbers together.

$2 x + 50 {}^{\circ}= 180 °$

Subtract 50 from both the sides.

$2 x + 50 {}^{\circ}- 50 {}^{\circ}= 180 {}^{\circ}- 50 °$

This gives us,

$2 x = 130 °$

Now, divide both sides by 2.

$\frac{2 x °}{2} = \frac{130 °}{2}$

This will give us the value of x.

$x = 65 °$

Second side of the angle of the triangle is given as $x °$ which is $65 °$ .

Third side of the angle of the triangle is given as $(x + 25) °$ .

Now add $65 °$ to it.

This gives us the value as,

$65 {}^{\circ}+ 25 {}^{\circ}= 90 °$

Step 4. Conclusion.

The value of x is $x = 65 °$ .

Since one angle of the triangle is $90 °$ and the other two angles are $25 °$ and $65 °$ respectively.

Hence, it is a scalene right-angled triangle.

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Pre-algebra

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Short Answer

Find the value of x. Then classify the triangle by its angle measures.

Step by Step Solution

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Step 2. Formula.

Step 3. Calculation.

Step 4. Conclusion.

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