Yes very because if you use the wrong one your whole formula will turn out wrong
9514 1404 393
Answer:
m∠SVW = 80°
Step-by-step explanation:
3. The sum of <em>same-side interior</em> angles SVW (4x°) and VWT (5x°) is 180°. This can be used to solve for x and to find the angle values.
4x + 5x = 180
9x = 180 . . . . . . . . collect terms
x = 20 . . . . . . . . . . divide by 9
m∠SVW = 4x° = 4(20)°
m∠SVW = 80°
_____
4. Then m∠VWT = 180° -80° = 100° = 5x°.
__
5. <em>Consecutive interior</em> angles are supplementary. ("Same-side" and "consecutive" are used interchangeably in this context.)
Personally i think that if you use the pi symbol it would be more accurate because on a calculator there is an pi symbol √ which is the same it will give you an answer closer to an whole number.
First of all, we can work out the length of BD: using the pythagorean theorem, we have

Now, we can work on triangle BCD and use the sine theorem: we have

Plugging the values and solving for
we have

We deduce
