Question

Calculate the measure of each angle. find X

Answer 1

Finding x

• (4x-27)°=(3x+4)° [Vertically Opposite angles]

Solve for X ~

`\bf4x - 27 = 3x + 4`

`\bf \: 4x - 3x = 4 + 27`

`\boxed{ \bf \: x = 31}`

Now, Finding each angle⤵️

`\tt \: ∠1 = 2x + 21 \\ \tt \: = 2 * 31 + 21 \\ \tt \: ∠1= 83 \degree`

`\tt \: ∠2 = 4x + 27\\ \tt \: = 4* 31 - 27 \\ \tt \: ∠2= 97 \degree`

`\tt \: ∠3 = 3x + 4 \\ \tt \: = 3* 31 + 4 \\ \tt \: ∠3= 97 \degree`

Answer 2

Note that:

• 4x - 27 = 3x + 4 (Vertically opposite angles)

Using the equation (4x - 27 = 3x + 4), solve for x.

• 4x - 27 = 3x + 4
• => -3x + 4x - 27 = 3x + 4 - 3x
• => x - 27 = 4
• => x - 27 + 27 = 4 + 27
• => x = 31

The measure of x is 31.