contestada

The drawing shown contains the intersection of two lines.
The measure of ∠1 =20x+21 and the measure of ∠2 =30x-29.
a.Write an equation to determine the measures of both angles.
b. Determine the measures of both angles. Show your work. 96 POINTS PLS HELP ASAP

The drawing shown contains the intersection of two lines The measure of 1 20x21 and the measure of 2 30x29 aWrite an equation to determine the measures of both class=

Respuesta :

09pqr4sT

Answer:

[tex]\Huge \boxed{x=5}[/tex]

[tex]\Huge \boxed{121\°}[/tex]

Step-by-step explanation:

∠1 and ∠2 are vertical angles.

∠1 = ∠2

Part A:

Create an equation and solve for x.

20x + 21 = 30x - 29

Add 29 and -20x on both sides.

20x + 21 + 29 - 20x = 30x - 29 + 29 - 20x

Simplify the equation.

50 = 10x

Divide both sides by 10.

[tex]\frac{50}{10}[/tex] = [tex]\frac{10x}{10}[/tex]

Simplify the equation.

5 = x

Switch sides.

x = 5

Part B:

Let x = 5

20(5) + 21

Distribute.

100 + 21

Add.

= 121

Since both angles are vertical angles, they are equal.

∠1 = 121°

∠2 = 121°

Otras preguntas