The smallest interior angle of a triangle, produces the largest exterior angle.
The largest exterior angle of the triangle is 145 degrees
The angles are given as:
[tex]\mathbf{\theta = 50, 35, 95}[/tex]
The smallest of the three angles is:
[tex]\mathbf{\theta =35}[/tex]
So, the largest exterior angle is calculated using the following supplementary angle formula
[tex]\mathbf{\alpha = 180 - \theta }[/tex]
Substitute 35 for [tex]\mathbf{\theta }[/tex]
[tex]\mathbf{\alpha = 180 - 35}[/tex]
[tex]\mathbf{\alpha = 145}[/tex]
Hence, the largest exterior angle of the triangle is 145 degrees
Read more about interior and exterior angles at:
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