Q:
The ratio of the angles of a triangle is 3 : 4 : 5. The three angles of a quadrilateral is equal to three angles of this triangle. What is the sum of the largest angle and second smallest angle of the quadrilateral ?
Answer & Explanation
Answer: A) 225 deg
Explanation: Angle of triangle = 180 × 3/12
= 45 deg
Other angles of the triangle are = 60 deg, 75 deg
Angle of quadrilateral
= 360 - (45 + 60 + 75)
= 180 deg
Therefore, the four angles of the quadrilateral are 45, 60, 75 & 180 degrees.
Hence, the sum of largest and smallest angle of the quadrilateral are 180 + 45 = 225 deg.
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