Question

(5x − 32)°
(3x - 4)º
Help meee

Answer 1

x = 27

Explanation:

(5x - 32) + (3x - 4) = 180

8x - 36 = 180

x = 216

x = 27

m<NQR = 5x - 32 = 5*27 - 32 = 103

m<QRP = 3x - 4 = 3*27 - 4 = 77

Answer 2

The value of x is 14.

The image depicts two intersecting lines, forming vertical angles QKR and RQP . Vertical angles are equal in measure, so we can set the expressions for the angles equal to each other and solve for x .

Here are the steps to solve for x :

1. Set the expressions for the vertical angles equal to each other:

`\[ 5x - 32 = 3x - 4 \]`

2. Subtract 3x from both sides to get the terms with x on one side:

`\[ 5x - 3x - 32 = -4 \]`

`\[ 2x - 32 = -4 \]`

3. Add 32 to both sides to isolate the x term:

`\[ 2x - 32 + 32 = -4 + 32 \]`

`\[ 2x = 28 \]`

4. Divide both sides by 2 to solve for x :

`\[ 2x / 2 = 28 / 2 \]`

`\[ x = 14 \]`