Question

What is the measure of angle ZBAF if AB bisects angle CAF, and the measure of angle ZEAF is 66 degrees?

A) E
B) D
C) C
D) F

Answer 1

The measure of angle ZBAF is 66 degrees as AB bisects angle CAF, making angle ZBAF equal to angle ZEAF, which is given as 66 degrees.

Step-by-step explanation:

The question asks to find the measure of angle ZBAF with the condition that AB bisects angle CAF and angle ZEAF is 66 degrees. Since AB is the bisector of angle CAF, it means that angle CAB (ZBAF) is equal to half of the measure of angle CAF. Because ZEAF is 66 degrees and is part of CAF, we can deduce that ZBAF is also 66 degrees because CAF is a straight angle (180 degrees), and its two parts are equal due to the bisector.

Therefore, the measure of angle ZBAF is 66 degrees.