Arjun says: 'In any quadrilateral, if three angles are acute, the fourth angle must be obtuse or right.' Consider a quadrilateral with three angles of 80°, 70° and 85°. Find the fourth angle and decide whether Arjun's statement holds for this case.

Question

Accepted Answer

125°, obtuse — statement holds. Fourth = 360 - (80 + 70 + 85) = 360 - 235 = 125°, which is obtuse. The statement holds here.

Arjun says: 'In any quadrilateral, if three angles are acute, the fourth angle must be obtuse or right.'
Consider a quadrilateral with three angles of 80°, 70° and 85°.
Find the fourth angle and decide whether Arjun's statement holds for this case.

Step-by-Step Solution

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More Class 9 Angle Sum Property of Quadrilaterals practice

Arjun says: 'In any quadrilateral, if three angles are acute, the fourth angle must be obtuse or right.'Consider a quadrilateral with three angles of 80°, 70° and 85°.Find the fourth angle and decide whether Arjun's statement holds for this case.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Angle Sum Property of Quadrilaterals practice

Arjun says: 'In any quadrilateral, if three angles are acute, the fourth angle must be obtuse or right.'
Consider a quadrilateral with three angles of 80°, 70° and 85°.
Find the fourth angle and decide whether Arjun's statement holds for this case.