Question

Constructing Angles Practice
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Question
Use the image to answer the question.

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.

Answer 1

Since line segment AD bisects angle ∠CAB, the measure of ∠CAB is equal to the sum of the measures of angles ∠BAD and ∠DAC.

Given:
- m∠BAD = 21 degrees

Since AD bisects ∠CAB, we have:
- m∠DAC = m∠BAD

Therefore:
- m∠DAC = 21 degrees

To find the measure of ∠CAB:
m∠CAB = m∠BAD + m∠DAC
m∠CAB = 21 degrees + 21 degrees
m∠CAB = 42 degrees

Thus, the measure of ∠CAB is 42 degrees.