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)

Question

m∠C=
°

m∠D=
°

Answer 1

To find the measure of angle C, we can set up an equation based on the fact that the sum of angles B, C, and D is equal to 180 degrees:

25 + 3x + 3x + 5 = 180
25 + 6x + 5 = 180
30 + 6x = 180
6x = 150
x = 25

Now that we have found the value of x, we can substitute it back into the expressions for angles C and D to find their measures:

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

Therefore, the measure of angle C is 75 degrees and the measure of angle D is 80 degrees.