Question -:
Which set of measures could be the measures of the interior angles of a triangle?
a.30°, 90°, 30°
b.32°, 59°, 79°
c.35°, 65°, 75°
d.22°, 37°, 121°
Explanation -:
In this question we are asked to find out which one could be the measures of the interior angles of a triangle. Add the three measure angles given if you get 180° then those angles can be the interior angles of a triangle.
We know that,
[tex] \bull \: \small\boxed{ \rm{ Sum \: of \: all \: interior \: angles \: of \: a \: triangle = 180°}}[/tex]
a) 30°, 90°, 30°
→ 30° + 90° + 30° = 180°
→ 150° ≠ 180°
Option a) is not the correct answer.
b) 32° , 59° , 79°
→ 32° + 59° + 79° = 180°
→ 170° ≠ 180°
Option b) is not the correct answer.
c) 35° , 65° , 75°
→ 35° + 65° + 75° = 180°
→ 175° ≠ 180°
Option c) is not the correct answer.
d) 22° , 37° , 121°
→ 22° + 37° + 121° = 180°
→ 180° = 180°
Hence, opition d) is the correct answer
