Question

A 180° angle (straight line) is formed by two adjacent angles. One angle is (2x+3)° and the other is (x−6)°. What are the two unknown angles that make this equation true?(1 point)

Answer 1

The sum of two adjacent angles that form a straight line (180°) is always 180 degrees. Therefore, we can set up the equation:

(2x+3)° + (x-6)° = 180°

Simplifying the equation, we get:

3x - 3 = 180

Adding 3 to both sides, we get:

3x = 183

Dividing both sides by 3, we get:

x = 61

Now that we have found the value of x, we can substitute it back into the original expressions to find the values of the two unknown angles:

First angle: (2x+3)° = (2*61+3)° = 125°

Second angle: (x-6)° = (61-6)° = 55°

Therefore, the two unknown angles are 125° and 55°.