Advertisements
Advertisements
Question
If two angles of a triangle are 60° each, then the triangle is ______.
Options
Isosceles but not equilateral
Scalene
Equilateral
Right-angled
Solution
If two angles of a triangle are 60° each, then the triangle is equilateral.
Explanation:
Let ΔABC be the given triangle in which two angles are 60° each.
Now, ∠A +∠B + ∠C = 180° .....(Angle sum property)
⇒ ∠A = 180° – 60° – 60°
∴ ∠A = 60°
Thus, all angles are 60°
Hence, ΔABC is a 60° equilateral triangle.
APPEARS IN
RELATED QUESTIONS
Find the value of the unknown x and y in the following diagram:
Find the value of the unknown x and y in the following diagram:
In the following triangle, find the value of x
If the three angles of a triangle are in the ratio 3 : 5 : 4, then find them
An exterior angle of a triangle is 105° and its two interior opposite angles are equal. Each of these equal angles is ______.
How many triangles can be drawn having its angles as 45°, 64° and 72°? Give reason for your answer.
In a triangle, one angle is of 90°. Then ______.
- The other two angles are of 45° each
- In remaining two angles, one angle is 90° and other is 45°
- Remaining two angles are complementary
In the given option(s) which is true?
By which of the following criterion two triangles cannot be proved congruent?
If two triangles are congruent, then the corresponding angles are equal.
In a right-angled triangle if an angle measures 35°, then find the measure of the third angle.
