Question
Find the measure of the two missing angles
A 2X. B 96° C X +12°
A 2X. B 96° C X +12°
Answers
GPT 3.5
To find the measure of the two missing angles, we can set up an equation using the fact that the sum of the interior angles of a triangle is always 180 degrees.
Let's denote the two missing angles as 2X and X + 12.
The sum of all three angles in a triangle is 180 degrees, so we can write the equation as:
2X + 96 + X + 12 = 180
Combining like terms:
3X + 108 = 180
Subtracting 108 from both sides:
3X = 72
Dividing by 3:
X = 24
Now that we have found the value of X, we can substitute it back into the expressions for the missing angles:
2X = 2(24) = 48 degrees
X + 12 = 24 + 12 = 36 degrees
Therefore, the two missing angles have measures of 48 degrees and 36 degrees.
Let's denote the two missing angles as 2X and X + 12.
The sum of all three angles in a triangle is 180 degrees, so we can write the equation as:
2X + 96 + X + 12 = 180
Combining like terms:
3X + 108 = 180
Subtracting 108 from both sides:
3X = 72
Dividing by 3:
X = 24
Now that we have found the value of X, we can substitute it back into the expressions for the missing angles:
2X = 2(24) = 48 degrees
X + 12 = 24 + 12 = 36 degrees
Therefore, the two missing angles have measures of 48 degrees and 36 degrees.