Question

Find x and y. Enter your answers as numbers.

Answer 1

ANSWER


`x = 4`

`y = 2`





EXPLANATION.

For the top triangle, the third angle

`= 180 - 148 - 18 = 14 \degree`

Since the two triangles are congruent, the corresponding angles are equal.


This implies that,

`3x + y = 14 - - - (1)`

and

`5x - y = 18 - - - (2)`

If we add the two equations, we obtain,


`8x = 32`

We divide both sides by 8 to get,


`x = 4`


We put this value in to equation 1 to get,



`3(4) + y = 14`


This implies that,


`12 + y = 14`



`y = 14 - 12 = 2`