Question

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°

Answer 1

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°.