Question

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°

Answer 1

The measure of angle ACB is 96°.

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}

`37+ 47+ \angle ACB = 180`

m∠ ACB = 180 - 84

m∠ ACB = 96°

∴ m∠ ACB = 96°