Question

write a two - column proof for the following. given: m∠2 = 30; m∠1 = 2m∠2. prove: m∠1 + m∠4 = 90. (do not include the degree symbol in your answers.) statements reasons 1) m∠2 = 30 1) given 2) m∠1 = 2m∠2 2) given 3) m∠1 = 2( ) 3) substitution 4) m∠1 = □ 4) simplification

Explanation:

Step1: Substitute \( m\angle2 \) value

We know \( m\angle2 = 30 \) (given) and \( m\angle1 = 2m\angle2 \) (given). Substitute \( m\angle2 = 30 \) into \( m\angle1 = 2m\angle2 \).
\( m\angle1 = 2\times30 \)

Step2: Simplify the expression

Calculate \( 2\times30 \).
\( m\angle1 = 60 \)

Answer:

60