Question

If the m angle 1 is (6x-2) and the m angle 3 is (10X-30) then find the measure of angle is angle 1p

Answer 1

Question:

Solution:

Remember that the vertical angles mean they share the same vertex (corner point). Now, the vertical angles are equal. According to this, we get the following equation:

`m\angle1\text{ = 6x-2 = 10x-30 = m}\angle3`

that is:

`\text{ 6x-2 = 10x-30}`

now, putting together similar terms, we obtain:

`10x\text{ -6x = -2+30}`

this is equivalent to:

`4x\text{ = 28}`

solving for x, we get:

`x\text{ = }(28)/(4)\text{ = 7}`

so that, we can conclude that the correct answer is:

`x\text{ = 7}`