There are two vertical angles in a figure with measures m∠1=(2x−16)° and m∠2=98° . What equation will solve for x

Answer 1

Since vertical angles are congruent, we have the equation:

m∠1 = m∠2

Substituting the given measures of ∠1 and ∠2:

(2x - 16)° = 98°

This equation can be solved to find the value of x.

Answer 2

Two intersecting lines create four angles; ∠2 and ∠4 are a vertical pair. Their sum of their measures is equal to 110° . What equation will solve for the value of each angle

Answer 3

Let's call the measures of ∠2 and ∠4 as x and y, respectively.

According to the given information, we have the equation:

x + y = 110°

This equation can be used to solve for the values of x and y.

Answer 4

m∠1=125° and m∠4=(x+35)°

What equation will solve for x

Answer 5

The equation to solve for x can be found using the fact that the sum of the measures of angles around a point is 360 degrees.

Since ∠1 and ∠4 are adjacent angles, their measures add up to 360 degrees.

Therefore, we have the equation:

125° + (x + 35)° = 360°

Simplifying this equation will allow us to solve for x.

Answer 6

In a geometric figure two intersecting lines create four angles, where ∠1 and ∠3 are a vertical pair. If m∠1=(3x−25)° and m∠3=104° , what is the value of x

Answer 7

Since ∠1 and ∠3 are a vertical pair, they have the same measure. Therefore, we can set up the equation:

m∠1 = m∠3

Substituting the given measures of ∠1 and ∠3:

(3x - 25)° = 104°

Now we can solve this equation to find the value of x.

Adding 25 to both sides:

3x = 129

Dividing both sides by 3:

x = 43

Therefore, the value of x is 43.