Answer:
x = 12
Step-by-step explanation:
Remark
These two angles are corresponding angles and as such, they are equal.
Equation
8x+ 36 = 5x + 72
Solution
Subtract 5x from both sides
8x - 5x + 36 = 5x - 5x + 72 Combine like terms.
3x + 36 = 72 Subtract 36 from both sides
3x + 36 - 36 = 72 - 36 Collect like terms
3x = 36 Divide by 3
3x/3 = 36/3 Divide
x = 12 Answer
Answer:
40 degrees
Step-by-step explanation:
Complementary angles have a sum of 90.
y = 90 - x
The angle is 260 degrees less than six times its complement.
y = 6x - 260
90 - x = 6x - 260
350 - x = 6x
350 = 7x
50 = x
This is the measure of the complement.
y = 90 - x
y = 90 - 50
y = 40
This is the measure of the first angle.