# Math Help - find missing angle?

1. ## find missing angle?

hi, i need to find the missing angle from this shape:

im not really sure how to do this so if someone could tell me i will be very grateful!

2. Have you covered the cosine rule?

$c^2=a^2+b^2-2ab\cos C$ which may also be written as $\cos C = \dfrac{a^2+b^2-c^2}{2ab}$

Edit: Misread angle as a side - use the law of sines instead (post left here for continuity)

3. would c^2= 6, a^2= 10 and b^2= 96??

4. Law of sines ...

$\displaystyle \frac{\sin(96^\circ)}{10} = \frac{\sin{\theta}}{6}
$

solve for $\theta$

5. Originally Posted by andyboy179
would c^2= 6, a^2= 10 and b^2= 96??
My apologies, I misread that angle as a side. Instead you can use the sine rule

$\dfrac{\sin A}{a} = \dfrac{\sin B}{b}$

In this case you have
• $a = 6$
• $\sin B = 96$
• $b = 10$

$\sin A = \dfrac{a \sin B}{b} = \dfrac{6 \sin(96)}{10}$

6. would i start it like this?

7. Yes, that's fine.

Me and skeeter used the other way of writing it which is the same as you but flipped over. I have started it off in post 6

8. would i then do sin?= 6x10/sin96=60.33?