Question

Solve for x. Help fast!!!!!

Answer 1

X=10

Explanation:

All triangles add up to have 180 degrees. The first two known angles are 72 and 74, which add up to be 146 degrees. In order to find out the third angle, we subtract 146 from 180 which is 34. Next we make 3x+4 equal to 34. Then we simply solve for x. To do this we must get the variable x by itself.

3x+4+34

You always start with the components furthest away from x which in this case is the 4. In order to get the 4 to the other side, you must do the opposite side, in this case, you subtract 4. This makes the equation as so:

3x=30

Now 3x would be multiplying 3 by the value of x, so in order to get the 3 to the next side, you divide the 30 by the 3 making it to where the x is by itself.

x=10

Answer 2

x = 10

Explanation:

Since the interior angles of a triangle add up to 180°. This is known as the Angle Sum Property of a Triangle.

Using this property, we can say that:

`\sf 3x +4+72^\circ+74^\circ =189^\circ`

Simplify like terms:

`\sf 3x +150^\circ = 180^\circ`

Subtract 150° from both sides:

`\sf 3x +150^\circ - 150^\circ = 180^\circ -150^\circ`

`\sf 3x = 30`

Divide both sides by 3.

`\sf (3x)/(3)=(30)/(3)`

`\sf x = 10`

Therefore, value of x is 10.