Jonasha, how many degrees do the three angles of a triangle equal? The answer is 180°.
Let's call the first angle x.
What do you know about the second angle? You know that it is 7 more that tne first angle. Let's call the second angle x + 7.
What do you know about the third angle? You know that it is 23 more than 3 times the first angle. Let's call the third angle 3x + 23.
All three of these angles must total 180, so we can set up the following equation:
x + x + 7 + 3x + 23 = 180
x + x + 3x = 5x and 7 + 23 = 30 so we can write the equation as 5x + 30 = 180.
Now you want to subtract 30 from both sides of the equation: 5x + 30 - 30 = 5x and 180 - 30 = 150 so we can now write the equation as 5x = 150.
To solve for x, you now have to divide both sides of the equation by 5: 5x/5 = x and 150/5 = 30.
x = 30
Now you can determine the degrees of each angle.
The first angle is x, so the first angle measures 30°. The second angle is x + 7, so the second angle measures 37°. The third angle is 3x + 23, so the third angle measures 113°. Now add the three angles to make sure they total 180: 30 + 37 + 113 = 180.
Hope this helps.