Answered

Connect with a community of experts and enthusiasts on IDNLearn.com. Our experts are available to provide accurate, comprehensive answers to help you make informed decisions about any topic or issue you encounter.

PLEASE HELP I WILL MAKE BRAINLIEST

PLEASE HELP I WILL MAKE BRAINLIEST class=

Sagot :

Asifjavedofficialidn

Answer:

m∠T = 79°

m∠V = 14°

Step-by-step explanation:

Given

  • m∠T = (2x + 85)°
  • m∠V = (5x + 29)°

As the sum of measures of the angles is 93°.

so

m∠T + m∠V = 93°

(2x + 85)° + (5x + 29)° = 93°

Remove parentheses

[tex]2x+85+5x+29=93[/tex]

[tex]7x+114=93[/tex]

Subtract 114 from both sides

[tex]7x+114-114=93-114[/tex]

Simplify

[tex]7x=-21[/tex]

Divide both sides by 7

[tex]\frac{7x}{7}=\frac{-21}{7}[/tex]

simplify

[tex]x=-3[/tex]

Determining m∠T

m∠T = (2x + 85)°

substitute x = -3

m∠T = (2(-3) + 85)°

        = -6 + 85

        = 79°

Thus, we conclude that m∠T = 79°

Determining m∠V

m∠V = (5x + 29)°

substitute x = -3

m∠T = (5(-3) + 29)°

        = -15 + 29

        = 14°

Thus, we conclude that m∠V = 14°

VERIFICATION:

m∠T + m∠V = 93°

substitute m∠T = 79° and m∠V = 14°

79° + 14° = 93°

93° =  93°

L.H.S = R.H.S    

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.