[Triangle]Determine the measure of each interior angle of △MAN and classify the triangle.m<A=m<Mm<N/trnglMAN is a(n)_______________ triangle.

DofotheroU

DofotheroU

Answered question

2020-11-24

[Triangle] Determine the measure of each interior angle of △MAN and classify the triangle.MAN is a(n)_______________ triangle.

Answer & Explanation

Khribechy

Khribechy

Skilled2020-11-25Added 100 answers

Solve for x. Recall that the sum of the measures of a triangle is 180° so:
mM+mA+mN=180
x+(2x−164)+(x−48)=180
4x−212=180
4x=392
x=98
So, the angle measures are:
mM=(x)°=98°
mA=(2x164)°=(298164)°=32°
mN=(x48)°=(9848)°=50°
Since the angle has one obtuse angle which is M, then MAN is an obtuse triangle.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

Answer is given below (on video)

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