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)

Answer 1

Since together the measures of ∠B, ∠C, and ∠D equal 180°, we have:
m∠B + m∠C + m∠D = 180°
25° + (3x)° + (3x+5)° = 180°
Combine like terms:
6x + 30 = 180
Subtract 30 from both sides:
6x = 150
Divide both sides by 6:
x = 25
Now substitute x back into the expressions for ∠C and ∠D:
m∠C = 3x° = 3(25)° = 75°
m∠D = 3x+5° = 3(25)+5° = 80°
Thus, the measures of ∠C and ∠D are 75° and 80°, respectively.