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Liula [17]
3 years ago
6

The drawing shown contains the intersection of two lines.

Mathematics
1 answer:
Phantasy [73]3 years ago
3 0

Answer:

\Huge \boxed{x=5}

\Huge \boxed{121\°}

Step-by-step explanation:

∠1 and ∠2 are vertical angles.

∠1 = ∠2

<u>Part A:</u>

<u></u>

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.

\frac{50}{10} = \frac{10x}{10}

Simplify the equation.

5 = x

Switch sides.

x = 5

<u>Part B:</u>

<u></u>

Let x = 5

20(5) + 21

Distribute.

100 + 21

Add.

= 121

Since both angles are vertical angles, they are equal.

∠1 = 121°

∠2 = 121°

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