In a right-angled , two angles are equal. find the angles.
Answers
Answer:
1st angle= 90°
2nd angle= 45°
3rd angle= 45°
Step-by-step explanation:
As it is a right angled triangle, 1st angle will be of 90°.
Also, there are 2 equal angles,
∴the other 2 angles are equal. (there cannot be 2 right angles)
∴the other angles are 45° each
Answer :
›»› The angles of a right angled triangle is
Given :
- In a right angled triangle two angles are equal.
To Find :
- The all angles of a triangle = ?
Solution :
Let us assume that, the two angles are equal isin a triangle two angles are "x".
As it is given that, in a right angled triangle two angles are equal.
→ x, x.
As we know that
The sum of all three angles of a triangle is 180°.
→ x + x + 90 = 180
→ 2x + 90 = 180
→ 2x = 180 - 90
→ 2x = 90
→ x = 90/2
→ x = 45
Therefore,
The angles of a triangle will be,
- x = 45°.
- x = 45°.
Hence, the angles of a triangle is 45°, 45°, and 90° respectively.
Verification :
The sum of all three angles of a triangle is 180°.
→ 45 + 45 + 90 = 180
→ 90 + 90 = 180
→ 180 = 180
Clearly, LHS = RHS.
Here, both the conditions satisfy, so our answer is correct