MATH SOLVE

2 months ago

Q:
# The sum of the measures of the three angles of a triangle is 180 the angles are 2x-4, x, x+6

Accepted Solution

A:

The value of x is 44.5The measures of the three angles are 85° , 44.5° , 50.5°Step-by-step explanation:The sum of the measures of the three angles of a triangle is 180°The angles of a triangle are 2x - 4 , x , x + 6We need to find the value of x and the measure of each angleTo solve the problemAdd the three anglesEquate their sum by 180Solve the equation to find the value of xSubstitute the value of x in each angle to find its measure∵ The angles of the triangles are 2x - 4 , x , x + 6∴ The sum of the angles = 2x - 4 + x + x + 6- Add the like terms∴ The sum of the angles = 4x + 2∵ The sum of the measures of the three angles of a triangle is 180°- Equate the sum of the angles by 180∴ 4x + 2 = 180- Subtract 2 from both sides∴ 4x = 178- Divide both sides by 4∴ x = 44.5The value of x is 44.5Substitute the value of x in each angle to find the measure of each angle∵ The measure of one angle = 2x - 4∵ x = 44.5∴ The measure of the angle = 2(44.5) - 4 = 85°∵ The measure of 2nd angle = x ∴ The measure of the angle = 44.5°∵ The measure of one angle = x + 6∵ x = 44.5∴ The measure of the angle = 44.5 + 6 = 50.5°The measures of the three angles are 85° , 44.5° , 50.5°Learn more:You can learn more about the angles of a triangle in brainly.com/question/4302397#LearnwithBrainly