Question

In rectangle QRST find A+B in terms of Cthe 60’s are a mistake on my end

Answer 1

ANSWER:

$a+b=c$

STEP-BY-STEP EXPLANATION:

We have that the angle R, measures 90°.

We will call the remaining angle x to complete the angle R. Therefore:

$\begin{gathered} 90=a+b+x \\ a+b=90-x \end{gathered}$

Now, we know that the sum of the internal angles of the rectangular triangle that is formed is equal to 180, therefore:

$\begin{gathered} 180=90+c+x \\ c+x=180-90 \\ c=90-x \end{gathered}$

Which means that:

$a+b=c$