Supplementary angles are angles whose sum is equal to 180°.
Let one angle be x
The other angle is said to be 26°more than the other so it is x + 26
x + (x+26) = 180
x + x + 26 = 180
2x = 180 - 26
2x = 154
x = 154/2
x = 77
1st angle, x, is equal to 77°
2nd angle, x + 26°, is 77° + 26° = 103°
77° + 103° = 180°
180° = 180°
Answer: 92 and 94
Step-by-step explanation:
x = first number
x + 2 = second number
x + x + 2 = 186
simplify
2x + 2 = 186
subtract 2 from both sides
2x = 184
divide both sides by 2
x = 92
92 + 2 = 94
The numbers are 92 and 94.
First, we would set the number to x.
Then, we turn the words into an equation.
x+75 = 3x-39
Isolate the x.
-2x = -114
So...
x = 57
