damarisd9
Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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.
​

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.

-----------------------------

  • 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

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.