Answer:
B. m∠4 is greater than m∠2
C. m∠4 is greater than m∠1
F. The degree measure of m∠4 equals the sum of the degree measures of m∠1 and m∠2
Step-by-step explanation:
From the given triangle. ∠1. ∠2, ∠3 are the interior angles of the triangle.
∠4 is the extended angle of ∠3. Which is called an exterior angle.
Here we have to use the statement of exterior angle of a triangle.
An exterior angle of a triangle is the sum of the opposite interior angles.
Therefore, m∠4 = m∠1 + m∠2
So, the following options are true:
B. m∠4 is greater than m∠2
{by the exterior angle theorem]
C. m∠4 is greater than m∠1 {by the exterior angle theorem]
F. The degree measure of m∠4 equals the sum of the degree measures of m∠1 and m∠2 {by the exterior angle theorem]
