Answer:
The measure of angle ACB is 96°.
Step-by-step explanation:
Given:
line s || line t
m∠ ABC = 47°
m∠ CDE = 37°
Name the points on line s as D and E shown in diagram below.
To Find:
m∠ ACB = ?
Solution:
line s || line t .................{Given}
∴ Alternate Interior Angles are equal
m∠ BAC = m∠ CDE = 37° ............{Alternate Interior Angles }
∴ m∠ BAC = 37°
Now in Δ ACB
m∠ BAC + m∠ ABC + m∠ ACB = 180° ... {Angle Sum Property of Triangle}
[tex]37+ 47+ \angle ACB = 180[/tex]
m∠ ACB = 180 - 84
m∠ ACB = 96°
∴ m∠ ACB = 96°
