Question

What is the value of x?

Answer 1

6x+1=2x+10+79 by the exterior angle thm

4x=88
x=22

Answer 2

Answer: x=22

Explanation:

We know that the exterior angle of a triangle is the sum of opposite interior angle.

For the given triangle, the exterior angle =
`(6x+1)^(\circ)`

The two opposite interior angles =
`79^(\circ)\ \&\ (2x+10)^(\circ)`

Using property :-

`\text{Exterior angle = Sum of two opposite interior angle}\\\\\Rightarrow\ 6x+1=79+2x+10\\\\\Rightarrow\ 6x-2x=79+10-1\\\\\Rightarrow\ 4x=88\\\\\Rightarrow\ x=22`

Hence, the value of x = 22