Question

Three angles measures add to 180° and have the following
measures: m/ACB = (x + 15) ° , m/BCD = (x + 48) °, and mLDCE = 13°. What is the
measure of BCD? (1 point)
Item 1
Item 2
Item 3
• 100°
0 52°
0 67°
o 80

Answer 1

To find the measure of BCD, we need to use the fact that the sum of the angles in a triangle is 180°.

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

m/ACB + m/BCD + m/LDCE = 180°

Substituting the given angle 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 have found the value of x, we can substitute it back into the equation to find the measure of BCD:

m/BCD = (x + 48)°

m/BCD = (52° + 48°)°

m/BCD = 100°

Therefore, the measure of BCD is 100°.