Math, asked by aditya1738, 9 months ago

The two interior opposite angles of an exterior of a triangle LMN are 60° and 80°. Find the measure of the exterior angle​

Answers

Answered by Maran07
41

Answer:

Given that two interior opposite angles of the exterior angle of a triangle are 60 degrees and 80 degrees.

The Measure of the exterior angle is equal to the sum of two interior opposite angles.

Hence, the measure of the exterior angle will be 60°+80° = 140°.

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Answered by SarcasticL0ve
96

GivEn:-

  • The two interior opposite angles of an exterior of a ∆LMN are 60° and 80°.

To find:-

  • Find the measure of the exterior angle?

SoluTion:-

As we know that,

★ Measure of exterior angle is equal to sum of two interior opposite angle.

Here,

  • Interior angles of ∆LMN are 60° and 80°

Therefore,

✇ Measure of Exterior Angle ∠LMP is,

\dashrightarrow ∠LMP = ∠LMN + ∠MLN

\dashrightarrow ∠LMP = 60° + 80°

\dashrightarrow\sf \pink{ \angle\;LMP = 140^\circ}

\dag\;\sf \underline{Hence,\;measure\;of\; \angle\;LMP\;is\;140^\circ}

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