Solve for X and Y Please help

Question

asked Mar 22, 2022 137k views

1 Answer

Twinmind · Answer 1 · 2022-03-27T01:38:15+0000

Answer:

x = 7

y = 3

Explanation:

$\triangle ABC$ is an equilateral triangle so that means all sides are equal

which means

$AB= BC=AC\\\\7=x$

now in
$\triangle ACD$ is an isosceles triangle so that means opposite sides to the angles that have the same measure are equal

which means

$AC=CD\\\\AC = y+4$

now remember that AC is a side of the equilateral
$\triangle ABC$ so AC = 7

solving for y

$7=y+4\\\\7-4 = y\\\\3=y$

so

$x = 7\\\\y = 3$