One of the measures of the angles of a triangle is $25^circ$ . If the sum of the measures of the other two angles is $155^circ$ and the difference between their measures is $5^circ$ , what are the measures of the unknown angles?

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Answer 1 · 2016-12-09T00:38:33

$80^@, 75^@$

Let the two unknown angles be $a, and b$ , respectively.

$=> a+b=155^@ .......(1)$
$=> a-b=5^@ ..........(2)$

Adding (1) and (2), we get,
$2a=160^@$
$=> a=80^@$

substituting $a=80$ in (2), we get
$=> 80-b=5^@$ ,
$=> b=75^@$

One of the measures of the angles of a triangle is 25^circ25^circ. If the sum of the measures of the other two angles is 155^circ155^circ and the difference between their measures is 5^circ5^circ, what are the measures of the unknown angles?