Question

you are making a picture frame in your shop class. two peices of wood are cut to form complementary angles so they fit fit together properly. one angle needs to be (2x+39) and the othwr angle needs to be (7x-21)

Answer 1

Two angles are complementary when their sum is equal to 90°.

So, ( 2x + 39 ) + ( 7x - 21 ) = 90°

9x + 18° = 90°

x = 8°

Putting value of x in the angles given :

( 2x + 39 )° = 2(8°) + 39° = 55°.

( 7x - 21 )° = 7(8°) - 21° = 35°.

Therefore, the angles are 55° and 35°.

Hence, this is the required solution.