Solve x then find each angle measure

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

Exterior angle of a triangle is equal to the sum of two opposite interior

on solving

12x-59 = 9x -8

12x-9x= 59 -8

3x = 51

x = 17

n0w

(7x-32) = 7*17- 32 = 87

(5x-27) = 5*17 - 27 = 58

9x -8 = 9*17 -8 = 145

Step-by-step explanation:

x = 17

Step-by-step explanation:

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

7x - 32 + 5x - 27 = 9x - 8 add like terms

12x - 59 = 9x - 8

12x - 9x = 59 - 8

3x = 51 divide both sides by 3

x = 17

measure of angle K 7x - 32 ➡ 7 × 17 - 32 = 87°

measure of angle J 5x - 27 ➡ 5 × 17 - 27 = 58°

measure of angle L 9x - 8 ➡ 9 × 17 - 8 = 145°

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