Question

Does anyone know how to solve these ?

Answer 1

1) Third option.

2) First option.

Explanation:

1) By definition the opposite angles of a parallelogram are equal, then:

`\angle Y=\angle W\\\\10x-27=2x+29`

Solving for "x", we get:

`10x-2x=29+27\\\\8x=56\\\\x=7`

Then we can find the measure of the angle "W":

`\angle W=2(7)+29=43\°`

By definition , the angle "V" ant the angle "W" are supplementary. Then:

`\angle V+43\°=180`

Solving for the angle "V", we get:

`\angle V=180\°-43\°=137\°`

2) It is important to remember that the diagonals of a parallelogram intersect each other at the half-way point. Then:

`EA=EC`

Therefore, we can write the following equation:

`8x-14=2(2x+11)`

Solving for "x" we get:

`8x-14=4x+22\\\\8x-4x=22+14\\\\4x=36\\\\x=9`