Question

Can anyone please help me with this geometry question!!

Answer 1

Answer:

-5° < x < 26°

Step-by-step explanation:

The given parameters are;

The length of the rays forming the 62° = The length of the rays forming the 2·x + 10°

The length of the side opposite the 62° = 15

The length of the side opposite the 2·x + 10° angle = 14

Therefore, by construction, we have;

2·x + 10° < 62°

2·x  < 62° - 10°

2·x  < 52°

x < 52°/2

x < 26°

Also, we have that the angle 2·x + 10°  is real, therefore;

0 < 2·x + 10°

-5 < x

Which gives;

-5° < x < 26°.