In the figure below, A, D, B, and G are collinear. If

Question

ZCAD measures 76°, ZBCD measures 47°, and ZCBG
measures 140°, what is the degree measure of ZACD?
C
F. 12°
G. 14°
H. 17°
J. 36°
K. 43°

Answer 1

To find the degree measure of angle ZACD, we can use the fact that the sum of the angles along a straight line is 180 degrees.

Given:
Angle CAD = 76 degrees
Angle BCD = 47 degrees
Angle CBG = 140 degrees

We want to find angle ZACD.

Since angles CAD, BCD, and CBG are on a straight line, we have:
Angle CAD + Angle ZACD + Angle BCD = 180 degrees

Substitute the given angle measures:
76 degrees + Angle ZACD + 47 degrees = 180 degrees

Combine like terms:
123 degrees + Angle ZACD = 180 degrees

Subtract 123 degrees from both sides:
Angle ZACD = 180 degrees - 123 degrees
Angle ZACD = 57 degrees

Therefore, the degree measure of angle ZACD is 57 degrees.

Since none of the given answer choices are 57 degrees, it appears that the correct answer choice may not have been provided.