Question

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

Answer 1

∠ABC= 82°

∠ACB= 82°

∠BAC= 16°

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°