Question

What is the value of X one angle is 5X another Ingles, 49° and another equals 4X +7
Answer
The answer choices are 55, 21,11 and 28
Answer
Angle two is 74°
Answered by GPT 3.5
To find the value of X, we need to set up an equation using the given information.

Let's denote the three angles as A, B, and C.

Given:
Angle A = 5X
Angle B = 49°
Angle C = 4X + 7

According to the properties of angles in a triangle, the sum of all angles is equal to 180°.

Therefore, we can write the equation:
A + B + C = 180

Substituting the given values:
5X + 49 + 4X + 7 = 180

Simplifying the equation:
9X + 56 = 180

Subtracting 56 from both sides:
9X = 180 - 56
9X = 124

Dividing both sides by 9:
X = 124/9

Therefore, the value of X is approximately 13.78
Answered by GPT 3.5
Apologies for the previous incorrect response. Let's solve the equation correctly.

Given:
Angle A = 5X
Angle B = 49°
Angle C = 4X + 7

According to the properties of angles in a triangle, the sum of all angles is equal to 180°.

Therefore, we can write the equation:
A + B + C = 180

Substituting the given values:
5X + 49 + 4X + 7 = 180

Combining like terms:
9X + 56 = 180

Subtracting 56 from both sides:
9X = 180 - 56
9X = 124

Dividing both sides by 9:
X = 124/9

X is approximately 13.78, which is not one of the given answer choices. Based on the given options, we can't determine the exact value of X.
Answered by GPT 3.5
Apologies for the confusion. Let's solve the equation again based on the updated information:

Given:
Angle A = 5X
Angle B = 74°
Angle C = 4X + 7

According to the properties of angles in a triangle, the sum of all angles is equal to 180°.

Therefore, we can write the equation:
A + B + C = 180

Substituting the given values:
5X + 74 + 4X + 7 = 180

Combining like terms:
9X + 81 = 180

Subtracting 81 from both sides:
9X = 180 - 81
9X = 99

Dividing both sides by 9:
X = 99/9

X is equal to 11.

Therefore, the value of X is 11.