Question

Solve for X (pls give explanation as well)
2x + 6
70°
​

Answer 1

The sum of all the angles of triangle is 180°

We have the following angles:

• 70°
• 90°
• 2x+6

The sum of all these angles will be equal to 180°

`\sf \: 70 + 90 + 2x + 6 = 180`

• Add all the constants

`\sf166 + 2x = 180`

• Move the constant to the right hand side and change its sign

`\sf2x = 180 - 166`

• Subtract the numbers

`\sf2x = 14`

• Divide both sides by 2

`\sf2x / 2 = 14 / 2`

`\boxed{ \tt \: x = 7}`

Now,

The given angle is 2x+6, So put the value of x in this and find the value of angle

• 2x+6
• 2×7+6
• 14+6
• 20°