To answer these questions just pick the letter format or say the numbers. Two adjacent angles are on a straight line. One angle is (5x−28)° and the other angle is 8x°. What is the degree value of the second angle? Choses to pick from are
A 120
B 52
C 16
D 128
For two adjacent angles x° and (x+30)° that make up a 90° angle, what is x?
Is it 60?
Yes, x is equal to 60.
The bot is wrong again in math.
The two angles are on a straight line, so their sum is 180° , not 90°
so we would have :
5x-28 + 8x = 180
13x = 208
x = 16
so the second angle is 8x or 128°
To find the degree value of the second angle, we need to set up an equation based on the information given. We know that the two angles are on a straight line, which means they add up to 180° (a straight angle).
So, we can set up the equation:
(5x - 28)° + 8x° = 180°
Now, we can solve for x. Combine like terms:
13x - 28° = 180°
Add 28° to both sides:
13x = 208°
Divide both sides by 13:
x = 16°
So, the degree value of the second angle (8x°) is:
8 * 16° = 128°
Therefore, the correct answer is D: 128.
Now, let's move on to the second question:
The sum of the two adjacent angles, x° and (x+30)°, is given as a 90° angle.
We can set up the equation:
x° + (x+30)° = 90°
Combine like terms:
2x + 30° = 90°
Subtract 30° from both sides:
2x = 60°
Divide both sides by 2:
x = 30°
So, the value of x is 30°.
Therefore, the answer to the second question is not 60°; it is actually 30°.