Together, the measures of ∠B , ∠C , and ∠D equal 180°

Question

. 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

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°