Step-by-step explanation:
All 3 angles add up to be 180 due to sum of angles in a triangle.
Given this fact,
[tex]38 - 5x + 83 + 24 = 180 \\ 145 - 5x = 180 \\ - 5x = 180 - 145 \\ - 5x = 35 \\ x = 35 \div - 5 \\ = - 7[/tex]
Answer:
(38 - 5x)⁰ + 83⁰ + 24⁰ = 180⁰
<=> (38 + 83 + 24) - 5x = 180
<=> 145 - 5x = 180
<=> 5x = 145 - 180
<=> 5x = - 35
<=> x = - 7
