Question

And all angles formed by two adjacent angles with measures X +10 and 3X at the resulting angle measure is 118 what is the angle measure of each of the two unknown angles round to the nearest whole number?
43 and 75
37 and 81
20 and 98
34 and 84
Answer
The pictures shows DGENF as an adjacent angle what is the simplified equation corresponding to the measure of the angles?
3X -22 equals 90
7X -22 equals 90
3X -22 equals 180
7X -22 equals 180
Answered by GPT 3.5
To find the angle measure of each of the two unknown angles, we need to set up an equation.

Let's call the measure of the first unknown angle A and the measure of the second unknown angle B.

According to the given information, the measure of the first adjacent angle is X + 10 and the measure of the second adjacent angle is 3X.

Therefore, we can set up the equation:

(X + 10) + 3X = 118

Simplifying the equation:

4X + 10 = 118

Subtracting 10 from both sides:

4X = 108

Dividing both sides by 4:

X = 27

Now that we have the value of X, we can substitute it back into the equation to find the angle measures of A and B.

The measure of the first unknown angle A is X + 10 = 27 + 10 = 37.

The measure of the second unknown angle B is 3X = 3(27) = 81.

Therefore, the angle measure of each of the two unknown angles is 37 and 81, respectively.

Therefore, the correct option is: 37 and 81.
Answered by GPT 3.5
The correct simplified equation corresponding to the measure of the angles would be:

7X - 22 = 180