Question

So confused Can someone pls help plsss

Answer 1

The value of x in triangle ABC is 4.

In triangle ABC, let's use the given property that the exterior angle at vertex C (angle ACM) is equal to the sum of the interior opposite angles (angle BAC and angle ABC). Mathematically, this is expressed as:

`\[ \text{Angle ACM} = \text{Angle BAC} + \text{Angle ABC} \]`

Substitute the given expressions for these angles:

(x + 2) = (2x - 8) + (3x - 6)

Combine like terms:

x + 2 = 5x - 14

Isolate the variable:

4x = 16

Solve for x:

x = 4

So, the value of x is 4.

The probable question may be:

In triangle ABC , Angle BAC=(2x-8), angle ABC=(3x-6) line BC is extended outside the triangle as CM and angle ACM=(x+2) Find the value of x?