Answer:
x = 7
3x + 17 = 38
6x + 10 = 52
Explanation:
Comment
Given the two lines are perpendicular. The ray separates them so that two smaller angles are formed which add up to 90 degrees. They are called complementary angles.
Given
<3x + 17
<6x + 10
The two lines are perpendicular.
Equation
(3x + 17) + (6x + 10) = 90
Solution
It the two lines are perpendicular the meet at right angles. A right angle 90 degrees.
(3x + 17) + (6x + 10) = 90 Remove the brackets.
3x + 17 + 6x + 10 = 90 Combine like terms on the left.
9x + 27 = 90 Subtract 27 from both sides.
9x + 27-27 = 90-27 Combine
9x = 63 Divide both sides by 9
9x/9 = 63/9
x = 7