The equation that can be written to solve for m∠4 is:
m∠3 + m∠4 = 180°.
m∠3 + m∠4 = 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)
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°.
(1 point)
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.
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.