Question

Hmsolve for x help i need it ​

Answer 1

6

Explanation:

The sum of interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.

Based on this information, we can write the following equation:

10x + 11x + 4 = 130

• Add like terms.

21x + 4 = 130

• Subtract 4 from both sides.

21x = 126

• Divide both sides by 21.

x = 6

Answer 2

The value of x is 6.

The exterior angle theorem states that the measure of the exterior angle of a triangle is equal to the sum of two remote interior angles. Here the exterior angle is
`130\textdegree` and the two remote interior angles are 10x and 11x+4.

So,

10x+11x+4= 130

21x=130-4

21x=126

x=126/21

x=6

Therefore, the value of x is 6.