Question

In order to answer the question correctly, please use the following image below:

Use the diagram below to find the measure of LM. (The symbol is in the image below)

What is the degree measurement of LM?(The symbol is in the image below)

Please show all the work on how you got your answer. ( I'm not asking for an explanation. All I want is the work shown so I can understand how you got your answer)

Answer 1

60°

Explanation:

LPN is a diameter (straight line passing through the centre)

X + 120 = 180

X = 60°

Answer 2

The value of ∠LPM is 60°

Explanation:

It is given that a straight line is 180° and line LN is a straight line. So in order to find angle LM, you have to substract angle MN from 180° :

∠LPN = 180°

∠MPN = 120°

∠LPM + ∠MPN = 180°

∠LPM = 180° - ∠MPN

= 180° - 120°

= 60°