Two angles of an obtuse triangle are 40 and 35 find the measure of the obtuse angle
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measure of obtuse angle is 105 degree
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The third angle is 105°
Solution :
One angle = 40°
Second angle = 35°We have to get the value of the third angle. As mentioned in the question, the triangle is an Obtuse Triangle which means the third angle is more than 90° and less than 180°.
Let the third angle be y.
According to the Angle sum Property of triangle, sum of all the angles is 180°.
⇒ 40° + 35° + y = 180°
⇒ 75° + y = 180°
⇒ y = 180° - 75°
⇒ y = 105°
Third angle = 105°
Therefore, the third angle is 105°.
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