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)
• 67°
• 52°
• 80°
• 100°
To find the measure of BCD, we need to use the fact that the sum of the angles is 180°.
m/ACB + m/BCD + m/LDCE = 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 we can find the measure of BCD:
m/BCD = (x + 48) = 52 + 48 = 100°
So the measure of BCD is 100°.
The correct answer is:
• 100°