Two adjacent angles are on a straight line. One angle has a measure of (5x - 28)° and the other angle has a measure of (8x)°. What is the measure of the second angle?
Correct answer! Well done.
The sum of the measures of the two adjacent angles is 180°, since they form a straight line.
So, we have the equation (5x - 28)° + (8x)° = 180°.
By combining like terms, we get 13x - 28° = 180°.
By adding 28° to both sides of the equation, we get 13x = 208°.
By dividing both sides of the equation by 13, we get x = 16°.
Thus, the measure of the second angle is (8x)° = (8)(16°) = 128°. Answer: \boxed{128}.
answers to solve equations with adjacent angles quick check 7th grade math unit 3 angle pairs
1: 128°
2: 30
3: 30° and 60°
4: 125° and 55°
5: 23° and 84°