The longest side will be AC and the smaller angle will be ∠C. Then the correct option is B.
What is the triangle?
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Roger is a florist who uses a triangular-shaped frame to arrange flower bouquets.
He received an order to make a new bouquet such that the small flowers should be placed along the longest side, with a big flower placed at the smallest angle of the triangular frame.
The two angles of the triangle are 59 degrees and 41 degrees.
We know that the sum of the interior angles of any triangle is 180 degrees.
Then the value of the angle B will be
∠A + ∠B + ∠C = 180°
59° + ∠B + 41° = 180°
∠B + 100° = 180°
∠B = 180° – 100°
∠B = 80°
The side length of the triangle depends upon the opposite angle.
If the angle increases, then the length of side also increases.
Then the longest side will be AC and the smaller angle will be ∠C.
Then the correct option is B.
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