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the sum of the angle measures triangle is 180⁰ find the measures of each angle in the triangle below ​

the sum of the angle measures triangle is 180 find the measures of each angle in the triangle below class=

Respuesta :

Leora03

Answer:

∠ABC= 82°

∠ACB= 82°

∠BAC= 16°

Step-by-step explanation:

∠ABC +∠ACB +∠BAC = 180° (∠ sum of △ABC)

(5x -3)° +(5x -3)° +(x -1)°= 180°

5x -3 +5x -3 +x -1= 180

11x -7= 180 (simplify)

11x= 180 +7 (+7 on both sides)

11x= 187

x= 187 ÷11

x= 17

∠ABC

= (5x -3)°

= [5(17) -3]°

= 82°

∠ACB

= ∠ABC

= 82°

∠BAC

= (17 -1)°

= 16°

Alternatively,

∠BAC

= 180° -82° -82°

= 16°

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