Ask question

Ask question

All categories

3 years ago

13

Find x and fill in the angle values. Could you also explain how it works? Please and thank you.

1 answer:

dlinn [17]3 years ago

4 0

Hello!

Angles 3 and 1 are vertical angles, and angles 2 and 4 are vertical angles. Vertical angles are congruent by definition, so angle 3 is congruent to angle 1, and angle 2 is congruent to angle 4.

The adjacent angles are supplementary (they add to equal 180 degrees) so you can set up an equation to solve for x.

180 = 2x + x
180 = 3x
60 = x

x = 60

To find the measure if each angle, plug in x as needed.

Angle 4 = x
Angle 4 = 60 degrees

Angle 2 = angle 4
Angle 2 = 60 degrees

Angle 3 = 2x
Angle 3 = 2(60)
Angle 3 = 120

Angle 1 = angle 3
Angle 1 = 120

I hope this helps you.

You might be interested in

At the craft store, Alyssa bought an $8 sketchpad and several drawing pencils for $0.75 each. She paid a total of $17. How many

Mashutka [201]

Answer: 12 pencils

Step-by-step explanation:

17 - 8 = $9

9 ÷ $0.75 = 12

So the answer is 12 pencils.

6 0

3 years ago

Read 2 more answers

V+1/2=-5/8 solve for v

alexandr402 [8]

$v+\frac { 1 }{ 2 } =-\frac { 5 }{ 8 } \\ \\ v=-\frac { 5 }{ 8 } -\frac { 1 }{ 2 } \\ \\ v=-\frac { 5 }{ 8 } -\frac { 4 }{ 8 } \\ \\ v=-\frac { 9 }{ 8 }$

8 0

3 years ago

Which of the following is true of the location of an angle, Theta, whose tangent value is Negative StartFraction StartRoot 3 End

Anuta_ua [19.1K]

The value of theta has a 30-degree reference angle and is located in Quadrant II or IV.

Given to us

$tan \theta =-\dfrac{\sqrt{3}}{3}$

<h3>What is the value of $tan \theta =\dfrac{\sqrt{3}}{3}$ ?</h3>

To know the value $tan \theta =\dfrac{\sqrt{3}}{3}$ we will simplify the given expression,

$tan \theta =\dfrac{\sqrt{3}}{3}\\\\\\tan \theta =\dfrac{1}{\sqrt{3}}\\\\tan \theta =30^o$

Hence, the value of theta is 30°.

<h3>Finding the location of the - tan30°?</h3>

To know that the location of the -tan30°,

$tan30^o = -\dfrac{sin30^o}{cos30^o}$

As the value is negative, therefore, there can be two cases,

Case I: when the value of Sin30° is negative,

Case II: when the value of cos30° is negative.

Case I: when the value of Sin30° is negative,

If the value of Sin30° is negative, while the value of cos30° is positive, the θ will lie in the fourth quadrant.

Case II: when the value of Cos30° is negative,

If the value of Cos30° is negative, while the value of Sin30° is positive, the θ will lie in the second quadrant.

Hence, the value of theta has a 30-degree reference angle and is located in Quadrant II or IV.

Learn more about Quadrants:

brainly.com/question/350459

5 0

3 years ago

8 times a number is equal to 56

maria [59]

The answer is seven. Fifty-six divided by eight is seven.

6 0

3 years ago

The sum of 42 and a number x is 51

n200080 [17]

Answer:

x = 9

Step-by-step explanation:

"The sum of 42 and a number x is 51" in "mathy" words:

42 + x = 51

Then, subtract both sides by 42:

42 + x - 42 = 51 - 42

So

x = 9

8 0

3 years ago