Question

in angle LMN MN is extend to O. If angle MLN=100-x,angle LMN=2x and angle LNO=6x-5,fine the value if x

Answer 1

Answer:

Hey mate, Here is ur answer..... Please refer to the attached file...

Hope it helps u dear

Answer 2

The value of x is 21.

Step-by-step explanation:

Given information: ∠MLN=(100-x), ∠LMN=2x and ∠LNO=6x-5

According to the exterior angle theorem, the sum of two interior angles of a triangle is equal to the exterior angle of third vertex.

Using exterior angle theorem we get

$\angle MLN+\angle LMN=\angle LNO$

$(100-x)+(2x)=(6x-5)$

$100+x=6x-5$

Isolate variable terms on left side.

$x-6x=-100-5$

$-5x=-105$

Divide both sides by -5.

$\frac{-5x}{-5}=\frac{-105}{-5}$

$x=21$

The value of x is 21.

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