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In a triangle, the largest angle is twice the smallest, and the third angle is 30° more than the smallest.
Find the smallest angle.

Class 7Angle Sum PropertyTriangles

A37.5
B33.5
C41.5
D75

Step-by-Step Solution

Let smallest =

x

. Angles:

x, 2 x, x + 30

. Sum:

x + 2 x + (x + 30) = 180, 4 x + 30 = 180, 4 x = 150, x = 37.5

deg.

Answer: A) 37.5

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