Three angles measure add up to 180 and have the following measures a CB equals X +15 BCD equals X +48 and DCE equals 13°. What is the measure of BCD

Answer 1

Let's solve for X.

We know that the sum of the three angles equals 180 degrees:

CB + BCD + DCE = 180

Substituting the given measures:

(X + 15) + (X + 48) + 13 = 180

Combining like terms:

2X + 76 = 180

Subtracting 76 from both sides:

2X = 104

Dividing both sides by 2:

X = 52

Now that we know X, we can find the measure of BCD:

BCD = X + 48
BCD = 52 + 48
BCD = 100

Therefore, the measure of BCD is 100 degrees.