Question

How do I solve this?

Answer 1

x = 13

Explanation:

to solve this question you must know that angles in a triangle add up to 180 degrees

therefor 180 = 43 + 62 + (7x-16)

solve for x

180 = 43 + 62 + (7x-16)

180 = 105 + (7x-16)

Now, we can subtract 105 from both sides to get

75 = 7x-16

Next, we can add 16 to both sides to get

91 = 7x

Finally, we can divide both sides by 7 to get

x = 91/7

x = 13

So the value of x that satisfies the equation is 13

Answer 2

x = 13

Explanation:

Interior angles of a triangle sum to 180°. Therefore:

`\implies 62^(\circ)+43^(\circ)+(7x-16)^(\circ)=180^(\circ)`

`\implies 62+43+(7x-16)=180`

`\implies 105+7x-16=180`

`\implies 7x+89=180`

`\implies 7x+89-89=180-89`

`\implies 7x=91`

`\implies 7x / 7=91 / 7`

`\implies x=13`