If five angles of a heptagon have measures of $80^circ, 85^circ, 175^circ, 90^circ, 140^circ$ , and if the other two angles are congruent, what is the measure of each of the other two angles?

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Answer 1 · 2017-03-08T07:49:31

Measure of each of the other two angles is $165^@$

A heptagon has seven sides and sum of its angles is $(7-2)xx180^@=900^@$ .

As five angles add up to $80^@+85^@+175^@+90^@+140^@=570^@$

therefore remaining two angles add up to $900^@-570^@=330^@$

and as the two angles are congruent

measure of each of the other two angles is $330^@/2=165^@$

If five angles of a heptagon have measures of 80^circ, 85^circ, 175^circ, 90^circ, 140^circ80^circ, 85^circ, 175^circ, 90^circ, 140^circ, and if the other two angles are congruent, what is the measure of each of the other two angles?