Together, the measures of ∠B , ∠C , and ∠D equal 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)
To find the measures of ∠C and ∠D, we can set up an equation.
∠B + ∠C + ∠D = 180°
Substituting the given measures, we have:
25° + 3x° + (3x+5)° = 180°
Combining like terms, we have:
25° + 6x + 5 = 180°
Simplifying further, we get:
6x + 30 = 180
Subtracting 30 from both sides, we get:
6x = 150
Dividing both sides by 6, we get:
x = 25
Therefore, the measure of ∠C is 3x = 3(25) = 75°
And the measure of ∠D is 3x+5 = 3(25)+5 = 80°