An exterior angle of a triangle measures 110° and its interior opposite angles are in the ratio 2:3. Find the angles of the triangle.
Answers
Answered by
18
Answer:
Let the interior opposite angles be 2x and 3x
2x + 3x = 110
5x = 110
x = 110/5
x = 22
So, 2x = 44°
3x = 66°
Answered by
39
Answer:
Angles of a triangle are: 44°, 66° and 70°.
Step-by-step explanation: Let the ratio be 2x and 3x.
Then,
We know that sum of interior opposite angle is equal to exterior angle of a Triangle.
∴ 2x + 3x = 110°
⇒ 5x = 110°
⇒ x = (110/5)°
⇒ x = 22°
So the interior opposite angle of a triangle are
⇒ 2x = (2*22)° = 44°
⇒ 3x = (3*22)° = 66°
Sum of all angles of a triangle = 180°
Third angle = 180° - (44+66)°
= 180° - 110°
= 70°
Hence, the angles of a triangle are: 44°, 66° and 70°
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