Question

The measures of the angles of a triangle are shown in the figure below. Solve for x.(2x+11)51

Answer 1

We know that the sum of the angles of a triangle must be equal to 180°, with this and seen the figure, we can find the equation:

`(2x+11)\text{ + (51) + (90) = 180 , wich implies, (2x+11) + (51) = 90}`

Continuing the calculos:

`2x\text{ + 62 = 90, wich inplies, 2x = 90 - 62, wich implies, 2x= 28}`

So, just need to divide 28 by 2, wich gives us that x=14.