Question

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

Answer 1

Answer:

$x=49\degree,y=6$

Step-by-step explanation:

Angle $x$ 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,

$\frac{3y-8}{15}=\frac{4}{6}$

We multiply both sides by 15 to get,

$3y-8=\frac{4}{6}\times 15$

$\Rightarrow 3y-8=\frac{2}{3}\times 15$

$\Rightarrow 3y-8=10$

$\Rightarrow 3y=10+8$

$\Rightarrow 3y=18$

We divide through by 3 to get,

$y=6$

The correct answer is D