To solve this problem, we need to use the fact that the sum of the measures of ∠B, ∠C, and ∠D is equal to 180°.
Given:
m∠B = 25°
m∠C = (3x)°
m∠D = (3x + 5)°
We can set up the equation:
25 + 3x + 3x + 5 = 180
Combine like terms:
25 + 6x + 5 = 180
30 + 6x = 180
6x = 150
x = 25
Now that we have found the value of x, we can find the measures of ∠C and ∠D:
m∠C = 3x = 3(25) = 75°
m∠D = 3x + 5 = 3(25) + 5 = 75 + 5 = 80°
Therefore, the measures of ∠C and ∠D are:
∠C = 75°
∠D = 80°
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)
Plz help
1 answer