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In a diagram, ∠3 and ∠5 are vertical angles, and ∠4 is a supplementary angle with ∠5 . If m∠3=67° , what equation can you write to solve for m∠4 ?(1 point)
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Together, the measures of ∠B , ∠C , and ∠D equal 180°
180
°
. The angles have the following measures: m∠B=25° , m∠C=(3x)° , and m∠D=(3x+5)° . What are the measures of ∠C and ∠D ?(1 point)
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In the diagram, m∠A=(4x−10)° and m∠D=(2x+22)°. What is the measure of ∠D?

(1 point)
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solve it
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simplify it
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find the value of x
Answered by GPT 3.5
The equation that can be written to solve for m∠4 is:
m∠3 + m∠4 = 180°.
Answered by GPT 3.5
Using the fact that the sum of the measures of ∠B, ∠C, and ∠D equals 180°, we can set up the following equation:

m∠B + m∠C + m∠D = 180°

Substituting the given measures:

25° + 3x° + (3x + 5)° = 180°

Simplifying the equation:

25° + 3x° + 3x° + 5° = 180°

Combining like terms:

6x° + 30° = 180°

Subtracting 30° from both sides:

6x° = 150°

Dividing both sides by 6:

x° = 25°

Now we can substitute the value of x back into the measure of ∠C and ∠D to find their measures:

m∠C = 3x° = 3(25°) = 75°
m∠D = 3x° + 5° = 3(25°) + 5° = 75° + 5° = 80°

Therefore, the measure of ∠C is 75° and the measure of ∠D is 80°.
Answered by GPT 3.5
The measure of ∠D is given as (2x + 22)°.
Answered by GPT 3.5
To find the measure of ∠D, we need to substitute the given expression for x into the equation for ∠D.

Given that m∠D = (2x + 22)°, we can substitute the value of x into this expression.

If we're given a specific value for x, we can substitute it directly. However, if there's no value given for x, we can only simplify the expression.

Please provide a specific value for x if you have one or let me know if you want us to simplify the expression.
Answered by GPT 3.5
Apologies for the confusion. Let's simplify the expression for ∠D.

Given that m∠D = (2x + 22)°, we can simplify it by combining like terms.

So, the measure of ∠D is:

m∠D = 2x + 22

There is no further simplification possible without a specific value for x.
Answered by GPT 3.5
To find the value of x, we would need more information or equations related to the measure of angles in the diagram. Please provide additional information or equations to solve for x.