The Polygons below are similar find the value of x and y

Question

asked Dec 3, 2020 198k views

1 Answer

Itai Hanski · Answer 1 · 2020-12-07T08:47:34+0000

Answer:

$x=49\degree,y=6$

Explanation:

Angle
corresponds to the complement of the
$41\degree$ in the bigger triangle. See diagram in attachment.

This implies that,

$x=90-41=49\degree$

Also since the triangles are similar, the sides are in the same proportion.

This implies that,

(3y-8)/(15)=(4)/(6)

We multiply both sides by 15 to get,

3y-8=(4)/(6)* 15

$\Rightarrow 3y-8=(2)/(3)* 15$

$\Rightarrow 3y-8=10$

$\Rightarrow 3y=10+8$

$\Rightarrow 3y=18$

We divide through by 3 to get,

y=6

The correct answer is D