Question

answer attempt 1 of 8
r =

Explanation:

Step1: Note angle - sum relationship

The two angles are complementary (since they form a right - angle), so their sum is 90°.
$50+(4t - 6)=90$

Step2: Simplify the left - hand side

First, combine like terms: $50-6 + 4t=90$, which gives $44 + 4t=90$.

Step3: Isolate the variable term

Subtract 44 from both sides: $4t=90 - 44$, so $4t=46$.

Step4: Solve for t

Divide both sides by 4: $t=\frac{46}{4}=\frac{23}{2}=11.5$

Answer:

$t = 11.5$