Question

Mz3 = 10x and mz5= 12x - 25.

Answer 1

`x = 12.5` degrees

Explanation:

Since lines a and b are parallel, we have that angles 3 and 5 are congruent, that is, they have the same measure.

We have that:

`m<3 = 10x`

`m<5 = 12x - 25`

Value of x:

Since they are congruent:

`m<3 = m<5`

`10x = 12x - 25`

`-2x = -25`

`2x = 25`

`x = (25)/(2)`

`x = 12.5` degrees