Two adjacent angles have a sum of 100°. The angles have measures ∠1 = 20° and ∠2 = (3x + 15)°. What equation can be used to solve for x?

1 answer

Since the angles are adjacent, their sum is equal to 100°.

Therefore, we have the equation:

∠1 + ∠2 = 100°

Substituting the given measures, we have:

20° + (3x + 15)° = 100°

Simplifying, we get:

3x + 35° = 100°

Now, subtracting 35° from both sides, we have:

3x = 65°

Thus, the equation that can be used to solve for x is:

3x = 65°