A triangle is bisected by a vertical line that connects an apex point, labeled upper A, to a point in the middle of the triangle's base, labeled upper D. The triangle's bottom left vertex is labeled upper C and its bottom right vertex is labeled upper B.
Ines examined the triangle and noticed that segment AD
bisected ∠CAB
. She measured ∠BAD
to be 21 degrees. What is the measure of ∠CAB
in degrees?
(1 point)
The m∠CAB
is
degrees.
1 answer
Since segment AD bisects angle \( \angle CAB \), we can express \( \angle CAB \) as:
\[ \angle CAB = \angle BAD + \angle DAC \]
Since \( AD \) is a bisector, we know that:
\[ \angle BAD = \angle DAC \]
If \( \angle BAD \) measures 21 degrees, then:
\[ \angle DAC = 21 , \text{degrees} \]
Therefore:
\[ \angle CAB = \angle BAD + \angle DAC = 21 + 21 = 42 , \text{degrees} \]
Thus, the measure of \( \angle CAB \) is:
\[ \boxed{42} \] degrees.
1 answer
1 answer
1 answer
1 answer