Question

Three angles in a triangle are x,2x+20° and 7x-10°. What is x?

Answer 1

x = 17°

Explanation:

Hi ! Our task is to find x.

So, the idea is: All three angles of a triangle add up to 180°.

Therefore,

`\sf{x+2x+20+7x-10=180}`

We can combine the like terms:

`\sf{x+2x+7x-10+20=180}`

`\sf{10x+10=180}`

`\sf{10x=170}`

`\sf{x=17^o}`

Therefore, x = 17°.

Answer 2

x = 17

Explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

x + 2x + 20 + 7x - 10 = 180

10x + 10 = 180 ( subtract 10 from both sides )

10x = 170 ( divide both sides by 10 )

x = 17