Question

PLEASE HELP I WILL MAKE BRAINLIEST

Answer 1

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

$2x+85+5x+29=93$

$7x+114=93$

Subtract 114 from both sides

$7x+114-114=93-114$

Simplify

$7x=-21$

Divide both sides by 7

$\frac{7x}{7}=\frac{-21}{7}$

simplify

$x=-3$

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