Question

Solve for x in the problem below

Answer 1

Answer:

x = 9

Step-by-step explanation:

This problem involves knowing the sum of angles in a triangle as well as the sum of supplementary angles. In any triangle, the sum of all the angles will always add up to 180°.  Supplementary angles add up to 180° and form a straight line.  In order to solve for 'x', we must set up an equation where the sum of the angles is equal to 180°.  Since the last angle of the triangle is not given, but we know that the value will be equal to 180 - (14x + 1), we can simplify this to 180 - 14x -1 or 179 - 14x.  We also know that this angle plus the other two angles of the triangle will add up to 180:

89 + 179 - 14x + 5x  - 7 = 180

Combine like terms:  261 - 9x = 180

Inverse operations: 261 - 261 - 9x = 180 - 261 or -9x = -81

Solve for x:  x = 9