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:

$a)23+10\mathrm{/}60+84+30\mathrm{/}60+72+20\mathrm{/}60=180$

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

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

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

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