Question

Find the value of x in Figure 7 (pictured below):

Answer 1

x= 10 degrees

all sides of a triangle add to 180
6x+8x+4x=180
18x=180
x=10

Answer 2

x = 10

Explanation:

Interior angles of a triangle sum to 180°

Therefore, to find the value of x, sum the given angles, equal them to 180, then solve for x:

⇒ 6x + 8x + 4x = 180

⇒ (6 + 8 + 4)x = 180

⇒ 18x = 180

⇒ 18x ÷ 18 = 180 ÷ 18

⇒ x = 10