Question 15
If two angles of a triangle are 60∘ each, then the triangle is
a) Isosceles but not equilateral
b) Scalene
c) Equilateral
d) Right angled
In ΔABC,
∠A+∠B+∠C=180∘ [angle sum property of a triangle]
⇒∠A+60∘+60∘=180∘ [∵∠B=∠C=60∘, given]
⇒∠A+120∘=180∘
⇒∠A=60∘
Since, all the angles are of 60∘. So, it is an equilateral triangle.
Hence option (c) is correct.