Question

If in a triangle LMN, ∠L = 80°, ∠M = 50°, find ∠N.

Answer 1

Answer:

∠L = 80°, ∠M = 50°, find ∠N

The sum of the angle of a triangle = 180°

L + M + N = 180°

80° + 50° + N = 180°

130° + N = 180°

N = 180° -130

N = 50 °. ( isoclese )

Answer 2

Answer:

The measure of an ∠N is $50^{0}$.

Step-by-step explanation:

Given : In a ΔLMN, ∠L = $80^{0}$, ∠M = $50^{0}$

To find : The measure of an ∠N.

Solution :

• It is given that in a ΔLMN, ∠L = $80^{0}$, ∠M = $50^{0}$
• We have to find the measure of an ∠N.
• We know that, in a triangle, sum of all angles of a triangle is $180^{0}$.
• Here, measure of two angles is known. So, the measure of a third angle can be find out.
• According to given data, the equation becomes,

    ∠L+∠M+∠N =$180^{0}$

    ∴ $80^{0} +50^{0}$ + ∠N =$180^{0}$

            ∴ $130^{0}$ + ∠N =$180^{0}$

                       ∴ ∠N =$180^{0}-130^{0}$

                        ∴ ∠N = $50^{0}$

• ∴  The measure of an ∠N is $50^{0}$.