Q:

NEED AN ANSWER ASAP!!!! Lines s and t are parallel. picture not drawn to scale What is the measure of ACB? A. 96° B. 143° C. 133° D. 53°

Accepted Solution

A:
Answer:The measure of angle ACB is 96°.Step-by-step explanation:Given:line s || line tm∠ 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 equalm∠ BAC = m∠ CDE = 37° ............{Alternate Interior Angles }∴ m∠ BAC = 37°Now in Δ ACBm∠ BAC + m∠ ABC  + m∠ ACB = 180°  ... {Angle Sum Property of Triangle}[tex]37+ 47+ \angle ACB = 180[/tex]m∠ ACB = 180 - 84m∠ ACB = 96°∴ m∠ ACB = 96°