Question

Find each variables in the kite. HELP ME ASAP. PLZZ

Answer 1

Part 1)
`x=35^o`

Part 2)
`y=30^o`

Explanation:

Part 1) Find the value of x

we know that

The diagonal of the figure divide the kite into two congruent triangles

so

`(3x+5)^o=(4x-30)^o`

solve for x

Group terms

`4x-3x=5+30`

`x=35^o`

Part 2) Find the value of y

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

`y^o+(3x+5)^o+(2y-20)^o=180^o`

substitute the value of x

`y^o+(3(35)+5)^o+(2y-20)^o=180^o`

`y^o+(110)^o+(2y-20)^o=180^o`

solve for y

combine like terms

`(3y+90)^o=180^o`

`3y=90^o`

`y=30^o`