Question

Please help!!! Which best explains the relationship between the two triangles below?

Answer 1

Answer:

Its B

Step-by-step explanation:

just took the test

Answer 2

Answer:

1. $\Delta ADC\sim \Delta RTS$ because $\angle A\cong \angle R$, $\angle C\cong \angle S$ and $\angle D\cong \angle T$

Step-by-step explanation:

We have been given two triangles $\Delta ADC$ and $\Delta RTS$. We are asked to find the relationship between these triangles.

By angle sum property let us find measure of angle C of triangle ADC.

$m\angle C+m\angle D+m\angle A=180^{o}$

$m\angle C+51.2^{o}+96.5^{o}=180^{o}$

$m\angle C+147.7^{o}=180^{o}$

$m\angle C=180^{o}-147.7^{o}$

$m\angle C=32.3^{o}$

Let us find measure of angle T of triangle RTS.

$m\angle T+m\angle R+m\angle S=180^{o}$

$m\angle T+96.5^{o}+32.3^{o}=180^{o}$

$m\angle T+128.8^{o}=180^{o}$

$m\angle T=180^{o}-128.8^{o}$

$m\angle T=51.2^{o}$

We can see that $m\angle C=m\angle S$, $m\angle A=m\angle R$ and $m\angle D=m\angle T$. Therefore, $\Delta ADC\sim \Delta RTS$ and 1st option is the correct choice.