Question

In triangleMNO,angleLMO=115° and angleMNO=55°. What is the measure of angleMON?​

Answer 1

In triangle MON,angle LMO=115° and angle MON=55° what is the measure of angle MON?

ANSWER: 6cm

Answer 2

Answer :

The measure of ∠MON is 60°.

Step-by-step explanation :-

To Find:-

• The measure of ∠MON

Solution:-

Concept :-

First we need to find out ∠NMO [ interior angle of triangle ], As by the angle sum property of triangle, we can find out the required angle which is needed to find out.

Let's do !

Given that,

• ∠LMO = 115°
• ∠MNO = 55°

The measure of ∠OMN is,

• ∠LMO - ∠OMN = 180° ... linear pair

➠ 115 - ∠OMN = 180

➠ ∠OMN = 180 - 115

➠ ∠OMN = 65°

The measure of ∠NMO is 65°.

ACCORDING THE QUESTION,

Now, the measure of ∠MON is,

• ∠MON + ∠OMN + ∠MNO = 180° .. angle sum property of triangle

➠ ∠MON + 65 + 55 = 180

➠ ∠MON + 120 = 180

➠ ∠MON = 180 - 120

➠ ∠MON = 60°

The measure of ∠MON is 60°.