Question

question 7
10 pts

1. if m∠abe=35° and m∠ebc=45°, and ∠abc is formed by these two angles, what is m∠abc?

a) 10°
b) 1.28°
c) 80°
d) 90°

Explanation:

Step1: Identify angle addition

Since ∠ABC is formed by ∠ABE and ∠EBC, we use the angle addition postulate: \( m\angle ABC = m\angle ABE + m\angle EBC \).

Step2: Substitute values

Substitute \( m\angle ABE = 35^\circ \) and \( m\angle EBC = 45^\circ \) into the formula: \( m\angle ABC = 35^\circ + 45^\circ \).

Step3: Calculate the sum

\( 35^\circ + 45^\circ = 80^\circ \).

Answer:

C) \( 80^\circ \)