Triangles

Find out whether given sizes of the angles can be interior angles of a triangle:

a) 23°10',84°30',72°20'
b) 90°,41°33',48°37'
c) 14°51',90°,75°49'
d) 58°58',59°59',60°3'

Result

a)

Yes

No

b)

Yes

No

c)

Yes

No

d)

Yes

No

Solution:

$a) 23+10/60+84+30/60+72+20/60=180$

$b) 90+41+33/60+48+37/60 = 180.167 \ne 180$

$c) 14+51/60+90+75+49/60 = 180.167 \ne 180$

$d) 58+58/60+59+59/60+60+3/60= 179 \ne 180$

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