two angles of a triangle are m° and (m+20)°.their sum is greater than the third angle.find the range value of m

3 answers

The third angle = 180° - m - ( m + 20° ) = 180° - m - m - 20° = 160° - 2 m

Sum sum is greater than the third angle mean:

m + m + 20° > 160° - 2 m

Now:

2 m + 20° > 160° - 2 m

2 m + 2 m > 160° - 20°

4 m > 140°

m > 140° / 4

m > 35°
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