Question

4 which of the following statement are true? select all that apply. a ( mangle qlp = 50) b ( mangle mln = 120) c ( mangle nlo + mangle olp = mangle nlp) d ( mangle qlp + mangle plo = mangle mln + mangle mlo)

Explanation:

Step1: Analyze option A

Observe the protractor. $\angle QLP$ measures 50 degrees, so $m\angle QLP = 50$ is true.

Step2: Analyze option B

$\angle MLN$ does not measure 120 degrees. It is less than 90 degrees, so $m\angle MLN=120$ is false.

Step3: Analyze option C

By the angle - addition postulate, for angles with a common vertex and side, the sum of two adjacent angles equals the larger angle formed. So $m\angle NLO + m\angle OLP=m\angle NLP$ is true.

Step4: Analyze option D

$m\angle QLP + m\angle PLO=m\angle QLO = 90$ degrees. Also, $m\angle MLN+m\angle MLO$ is not equal to 90 degrees as $\angle MLN$ is acute and $\angle MLO$ is not 90 - $m\angle MLN$. So this statement is false.

Answer:

A. $m\angle QLP = 50$
C. $m\angle NLO + m\angle OLP = m\angle NLP$