Three angles measures add to and have the following measures: ,
, and . What is the measure of ? (1 point)
180° m∠ACB = (x + 15) °
m∠BCD = (x + 48) ° m∠DCE = 13° ∠BCD
52°
67°
100°
80°
To find the measure of angle ACB (represented as x), we can set up an equation based on the information given:
(x + 15) + (x + 48) + 13 = 180
Combining like terms, we get:
2x + 76 = 180
Subtracting 76 from both sides, we have:
2x = 104
Dividing both sides by 2, we find:
x = 52
Therefore, the measure of angle ACB (x) is 52°.