Question

part 2 - use the angle addition postulate to answer the following questions.

1. find ( mangle klm ) if ( mangle klb = 21^{circ} ) and ( mangle blm = 67^{circ} ).

Explanation:

Step1: Apply angle addition postulate

The angle addition postulate states that if \(B\) is in the interior of \(\angle KLM\), then \(m\angle KLM=m\angle KLB + m\angle BLM\).

Step2: Substitute the given values

Given \(m\angle KLB = 21^{\circ}\) and \(m\angle BLM=67^{\circ}\), substitute into the formula: \(m\angle KLM=21^{\circ}+ 67^{\circ}\).

Step3: Calculate the sum

\(21^{\circ}+67^{\circ}=88^{\circ}\).

Answer:

\(88^{\circ}\)