Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

In triangle ABC, m∠ABC = (4x – 12)° and
m∠ACB = (2x + 26)°. Yin says that if x = 19, the triangle must be equilateral. Is he correct? Justify your answer.

Triangle A B C is shown. Angles A B C and B C A are congruent.


Sagot :

The value of ∠ABC is 64 degree at x = 19 degree ,therefore Yin is not right about the value of x .

What is a Triangle ?

A triangle is a polygon with three sides , angles and vertices.

It is given that

m∠ABC = (4x – 12)°

m∠ACB = (2x + 26)°

Let m∠ACB = y degree

It is asked that if x =19 degree , is the triangle equilateral

m∠ABC = (4x – 12)° = 4 *19 -12 = 64 degree

As in an equilateral triangle , the angles are all equal and equal to 60 degree.

If the value of ∠ABC is 64 degree at x = 19 degree ,therefore Yin is not right about the value of x .

To know more about Triangle

https://brainly.com/question/2773823

#SPJ1