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Question
If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is ______.
Options
55°
65°
50°
60°
Solution
If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is 65°.
Explanation:
Let interior opposite angles be x and x.
∴ 130° = x + x ......[Exterior angle property]
⇒ 2x = 130°
⇒ x = `130^circ/2` = 65°
Thus, each interior opposite angle is 65°.
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