m∠1=125° and m∠4=(x+35)° What equation will solve for x? (1 point)

Answer 1

The equation that will solve for x is:

125° = (x + 35)°

Answer 2

Two angles in a vertical pair have measures that add to 70° . What is the measure of each angle?(1 point) °

Answer 3

In a vertical pair of angles, the angles are congruent, meaning they have the same measure.

So, let's call the measure of each angle x.

According to the given information, the sum of the measures of the two angles is 70°.

Therefore, we can set up the equation: x + x = 70°

This simplifies to: 2x = 70°

To solve for x, we divide both sides of the equation by 2:

2x/2 = 70°/2

x = 35°

So, each angle in the vertical pair measures 35°.

Answer 4

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 ?(1 point)

Answer 5

Since ∠1 and ∠3 are a vertical pair, they have the same measure.

Given that m∠1 = (3x - 25)° and m∠3 = 104°, we can set up an equation:

(3x - 25)° = 104°

To solve for x, we need to isolate it on one side of the equation.

Adding 25° to both sides:

(3x - 25)° + 25° = 104° + 25°

This simplifies to:

3x° = 129°

Now, divide both sides of the equation by 3 to solve for x:

3x°/3 = 129° / 3

This further simplifies to:

x° = 43°

Therefore, the value of x is 43.

Answer 6

There is a pair of vertical angles whose measures are m∠1=106° and m∠2=(3x−75)° . What equation can you write to solve for x ?(1 point)

Answer 7

The equation that can be written to solve for x is:

106° = (3x - 75)°