A side of the triangle below has been extended to form an exterior angle of 71°. Find the value of x.
200
71°
2 =
Submit Answer

9514 1404 393

  51

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  71° = 20° + x°

  51 = x . . . . . . . . . divide by °, subtract 20

Additional comment

Consider the missing interior angle of the triangle. It is 180° - 71°. It is also 180° -20° -x°. Equating these values and rearranging, we get ...

  71° = 20° + x°

In short, supplements of the same angle are congruent. This relationship can save you the unnecessary work of figuring out the missing interior angle.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: