Together the measures of < B<C and <D equal 180 degrees the angles have the following measures m <B=25 degrees m < C = (3x) and m < D = (3x+5) what are the measures of < C and <D
Since the sum of all three angles is 180 degrees, we can set up an equation:
25 + 3x + 3x + 5 = 180
Combine like terms:
25 + 6x + 5 = 180
6x + 30 = 180
Subtract 30 from both sides:
6x = 150
Divide by 6:
x = 25
Now that we have the value of x, we can find the measures of angle C and angle D:
C = 3x
C = 3(25)
C = 75
D = 3x + 5
D = 3(25) + 5
D = 75 + 5
D = 80
Therefore, the measure of angle C is 75 degrees and the measure of angle D is 80 degrees.