Question

A 180° angle (straight line) is formed by two adjacent angles. One angle has a measure of (2×+3)° and the other has a measure of (×-6)°. What are the measures of the two angles that make up the straight line?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The sum of the two adjacent angles should equal 180° since they form a straight line.

Let's set up the equation:
(2× + 3) + (× - 6) = 180

Simplify the equation:
2× + 3 + × - 6 = 180
3× - 3 = 180
3× = 183

Divide both sides of the equation by 3:
× = 61

Now, substitute × with 61 in the expressions for each angle:
(2× + 3) = (2 × 61 + 3) = 123 + 3 = 126
(× - 6) = (61 - 6) = 55

Therefore, the two angles that make up the straight line have measures of 126° and 55°.