Question

the figure shown is a triangle with three unknown angles. to find out if the sum of the three interior angle measures of any triangle is 180°, show: m∠1 + m∠2 + m∠3 = 180° m∠1 = m∠4 m∠2 = m∠5 rewrite the angle sum by substituting for m∠1 and m∠2. m∠1 + m∠2 + m∠3 = ? + ? + m∠3

Explanation:

Step1: Identify given angle equalities

We know \( m\angle1 = m\angle4 \) and \( m\angle2 = m\angle5 \) from the problem.

Step2: Substitute into angle sum

Substitute \( m\angle1 \) with \( m\angle4 \) and \( m\angle2 \) with \( m\angle5 \) in the equation \( m\angle1 + m\angle2 + m\angle3 \). So we get \( m\angle4 + m\angle5 + m\angle3 \).

Answer:

\( m\angle4 \), \( m\angle5 \)