Question

Solve for x.
A) 12
B) 8
C) 15
D) 9

Answer 1

Option A) 12 is the correct answer.

Step-by-step Step-by-step explanation:

As we know that,

The sum of two opposite interior angle of triangle is equal to it's exterior angle :

Then,

`\sf \longrightarrow{(3x + 19) + 5x = 115 \degree}`

`\sf \longrightarrow{(3x + 5x) + 19 = 115 \degree}`

`\sf \longrightarrow{8x = 115 - 19}`

`\sf \longrightarrow{8x = 96}`

`\sf \longrightarrow{x = (96)/(8) }`

`\sf \longrightarrow{x = \cancel{(96)/(8)}}`

`\sf \longrightarrow{x = 12}`

Hence, the value of x is 12.