Question

Find the measure of angle x. Round to the nearest minute. X=___ ___a= 64° 16°

Answer 1

ANSWER:

25° 44'

STEP-BY-STEP EXPLANATION:

we know that the sum of x and a is equal to 90°, now we convert the minutes into decimals knowing that 60 minutes is equal to 1 degree, therefore:

$\begin{gathered} \frac{16}{60}=0.266 \\ \\ 64.266+x=90 \\ \\ x=90-64.266 \\ \\ x=25.734 \end{gathered}$

Now, we convert in minutes and we would have:

$\begin{gathered} 0.734\cdot60=44 \\ \\ \text{ therefore:} \\ \\ x=25\degree44^{\prime} \end{gathered}$

The value of x is 25° 44'