Question

One triangle has an angle of 81 degrees and the corresponding angle of the other triangle is 2x - 5 degrees, find the value of x?

Answer 1

`x=43`

Explanation:

Corresponding angles are equal. It is implied that the two angles referred to in the triangles are equal, otherwise they should not be labelled as corresponding.

Therefore, we can set both equations equal to each other:

`2x-5=81^(\circ)`

Add 5 to both sides:

`2x=86`

Divide both sides by 2:

`x=(86)/(2)=\boxed{43}`