1. The three angles of a triangle measure (2x - 10"). (x+31") and (5x + 7"). Find the value of x and hence
all the angles of the triangle
2. One of the exterior angles of a triangle is 153" and the interior opposite angles are in the ratio 5:4. Find
the three interior angles of the triangle,
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Answer:
1. x= 19 °
2. three interior angles are 85°, 68° and 27°
Step-by-step explanation:
1. the sum of angles of a triangle is 180°
so,
2. let the two opposite interior angles be 5x and 4x
so,
as per the exterior angle property , the sum of opposite interior angles = exterior angle
therefore,
so, the opposite interior angles are
5x = 5×17 = 85°
4x = 4×17 = 68°
Again as per the angle sum property , the sum of interior angles is 180 °
so,
the third angle will be
thus the three interior angles are 85°, 68° and 27°
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