Question

calculate the measure of each angle. find X

Answer 1

Solution:

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.

Answer 2

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⤵️

$\tt \: ∠1 = 2x + 21 \\ \tt \: = 2 \times 31 + 21 \\ \tt \: ∠1= 83 \degree$

$\tt \: ∠2 = 4x + 27\\ \tt \: = 4\times 31 - 27 \\ \tt \: ∠2= 97 \degree$

$\tt \: ∠3 = 3x + 4 \\ \tt \: = 3\times 31 + 4 \\ \tt \: ∠3= 97 \degree$