Question

If the exterior angle of a triangle measures 110 $^{\circ}$∘  and one of its interior opposite angle is 60 $^{\circ}$∘ , then the measure of the other interior opposite angle is :

 $60$60$^{\circ}$∘  

 $50^{\circ}$50∘ 

 $70^{\circ}$70∘ 

5 $^{\circ}$∘ 

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Answer 1

Answer:

Exterior angle = 110°

One opposite interior angle = 60°

∴ Other interior angle = 110° - 60° = 50°  [By exterior angle property of triangle]

Other angle of triangle

= 180° - (50°+60°)                   [By Angle Sum Property of triangle]

= 180° - 110°

=70°

Therefore, the angles of the triangle are 60°, 50°, 70°

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