Three angles measures add to 180° and have the following measures M angle AC B equals X +15° M angle BCD equals X +48° and M angle DCE equals 13° what is the measure angle BCD

Answer 1

Let's set up an equation using the given information.

We know that the sum of the angle measures is 180°.

So, (angle ACB) + (angle BCD) + (angle DCE) = 180°

Substitute the given angle measures:

(X + 15°) + (X + 48°) + 13° = 180°

Combine like terms:

2X + 76° = 180°

Subtract 76° from both sides:

2X = 104°

Divide both sides by 2:

X = 52°

Now, substitute the value of X in the equation to find the measure of angle BCD:

(angle BCD) = X + 48°

(angle BCD) = 52° + 48°

(angle BCD) = 100°

Therefore, the measure of angle BCD is 100°.