which term describes an if statement inside of another if statementthree angles have measures that add to 180°. they have the following angle measures: m abc = (×-6)°, m cbd = (4×-14)°, and m dbe = 5x°. what is the equation to solve for x?

Answer 1

The term that describes an if statement inside of another if statement is called a nested if statement.

To solve for x in this case, we can set up an equation based on the fact that the sum of the angles is 180°.

The equation for the sum of the angles is:
m abc + m cbd + m dbe = 180°

Substituting the given measures, we have:
(×-6)° + (4×-14)° + 5x° = 180°

Simplifying the equation, we get:
-6x - 84 + 4x - 56 + 5x = 180°
3x - 140 = 180°

To solve for x, we need to isolate the variable. Adding 140 to both sides, we have:
3x = 320°

Finally, dividing both sides by 3, we get:
x = 320° / 3