Two adjacent angles from a resulting angle with measure 160°.√1=3x° and m√2=(2x +10)°. Solve for x. What are the two unknown angles measurements?

1 answer

We know that the sum of adjacent angles on a straight line is 180°. Thus, if one angle measures 160°, the other angle measures 180° - 160° = 20°.

Now, we can solve for x using the given equations:
√1 = 3x°
This simplifies to x = 1/3.

m√2 = (2x + 10)°
Substituting the value of x, we get:
m√2 = (2(1/3) + 10)°
m√2 = (2/3 + 10)°
m√2 = (20/3)°

Therefore, the two unknown angle measurements are 20° and (20/3)°.