Question

Ė
J
K
(5x – 27)°
(7x-32)
(9x-8)°
L M

Answer 1

x = 17

Explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.

We can write the following equation based on the above mentioned information:

7x - 32 + 5x - 27 = 9x - 8

• Add/subtract like terms.

12x - 59 = 9x - 8

• Transfer like terms to the same side of the equation.

12x - 9x = 59 - 8

• Subtract expressions.

3x = 51

• Divide both sides by 3.

x = 17