Posted by **Dominique** on Tuesday, December 18, 2012 at 9:07pm.

Obtuse angles A and B are in standard position. Point P(-3,4) is on the terminal arm of angle A. Point Q(-9,12)is on the terminal arm of angle B. How are the measures of angles A and b related?

Please explain...

- Math -
**Reiny**, Tuesday, December 18, 2012 at 9:42pm
If you put P and Q on the same grid, did you notice that OQ is an extension of OP ?

so the angle formed by OP and OQ are the same

notice the hypotenuse of the smaller triangle is 5 by Pythagoras, and of the larger triangle it is 15

try this on your calculator:

2nd

cos

(

-3÷5

)

= to get 126.8698...°

now try:

2nd

cos

(

-9÷15

)

=

to get exactly the same angle of 126.8698...°

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