Question

an interior angle of triangle measures 770 and its interior opposite are in the ration 2:3. Find the angles of the triangle.

Answer 1

Answer:

Step-by-step explanation:

one angle is 70    

opposite are in the ratio  2:3

let other angles are  2x and 3x  

now

sum of 3 angles in triangle = 180

70 +2x +3x = 180

5x = 110

x = 110/5

x = 22

angles are   70 ,44,66

Answer 2

$\huge{\mathfrak{\underline{Solution:}}}$



$\large \bf \underline{\underline{Given:}}$



$\text{Measure of Interior Angle of Triangle = 70°} \\ \text{Ratio of its Opposite Interior Angles = 2 : 3}$

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$\large \bf \underline{\underline{Explanation:}}$


$\text{Let the opposite interior angles be 2x and 3x.} \\ \\ \therefore \text{Sum of All Sides of Triangle = 180} \\ \to \text{70° + 2x + 3x = 180°} \\ \to \text{5x = 180° - 70°} \\ \to \text{x =} \dfrac{110°}{5} \\ \to \text{x =} \boxed{\boxed{22°}} \\ \\ \\ \text{Therefore,} \\ \text{Angle are} \boxed{\boxed{70°}}, 22 × 2 = \boxed{\boxed{44°}} \: \text{and} \: 22 × 3 = \boxed{\boxed{66°}}$

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