Question

$△ABC$ is similar to $△XYZ$ by $SAS$ similarity.If in $△ABC$ $AB=12,BC=8,\angle B=60$
and in $△XYZ$ Find the value of $\angle Y$

• A. $240°$
• B. $60°$
• C. $15°$
• D. Cannot be determined

Answer 1

The correct option is B $60°$

There are two possibilities for the similar triangles according to SAS rule

$\left(1\right)\frac{\angle B}{\angle Y}=\frac{12}{3}=\frac{8}{2}=4\Rightarrow \angle Y={60}^{\circ }$

$\left(2\right)\angle Y=\angle B={60}^{\circ }$