Question

a) in the figure shown, ∠4 is an exterior angle.
a) what is another way ∠3 and ∠4 are related?
a) angles 3 and 4 form a straight angle. that means m∠3 + m∠4 = 180°.
a) what is m∠3?
m∠3 = 60 °
a) what is m∠4?
m∠4 = \square°

Explanation:

Step1: Recall the relationship between ∠3 and ∠4

We know that ∠3 and ∠4 form a straight angle, so \( m\angle3 + m\angle4 = 180^\circ \).

Step2: Substitute the value of \( m\angle3 \)

We are given that \( m\angle3 = 60^\circ \). Substituting this into the equation \( m\angle3 + m\angle4 = 180^\circ \), we get \( 60^\circ + m\angle4 = 180^\circ \).

Step3: Solve for \( m\angle4 \)

Subtract \( 60^\circ \) from both sides of the equation: \( m\angle4 = 180^\circ - 60^\circ = 120^\circ \).

Answer:

\( 120 \)