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PLEASEE HELP

In the diagram below, AB and CB each have a length of 5 centimeters. If m<A=6(x-3) and m<C=4(x+1), determine the value of each angle of the triangle.
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PLEASEE HELPIn The Diagram Below AB And CB Each Have A Length Of 5 Centimeters If MltA6x3 And MltC4x1 Determine The Value Of Each Angle Of The Triangle class=

Sagot :

Considering that angles A and C are equal, and the sum of the internal angles of a triangle is 180º, we have that:

The measure of angle A is of: 48º.

The measure of angle B is of: 84º.

The measure of angle C is of: 48º.

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  • Segments AC and CB have the same length, thus, angles A and C have the same measure, and then:

[tex]6(x - 3) = 4(x + 1)[/tex]

[tex]6x - 18 = 4x + 4[/tex]

[tex]2x = 22[/tex]

[tex]x = \frac{22}{2}[/tex]

[tex]x = 11[/tex]

[tex]6(11 - 3) = 6(8) = 48[/tex]

The measure of angle A is of: 48º.

The measure of angle C is of: 48º.

The sum of the internal angles of a triangle is of 180º, and this is used to find the measure of angle B.

[tex]mA + mB + mC = 180[/tex]

[tex]2(48) + mB = 180[/tex]

[tex]mB = 84[/tex]

The measure of angle B is of: 84º.

A similar problem is given at https://brainly.com/question/13216436

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