5. Two angles of triangle are equal, and the third angle is greater than each of these angles by 30°
Find all the angles of the triangle
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5. Two angles of triangle are equal, and the third angle is greater than each of these angles by 30°
Find all the angles of the triangle
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Verified answer
Given :
To find :
Solution :
Let,
Using formula,
where,
Triangle has 3 sides, 3 angles.
⠀⠀⠀⇒ x° + x° + x° + 30° = (2n - 4) × 90°
⠀⠀⠀⇒ 3x° + 30° = ((2 × 3) - 4) × 90°
⠀⠀⠀⇒ 3x° + 30° = (6 - 4) × 90°
⠀⠀⠀⇒ 3x° + 30° = 2 × 90°
⠀⠀⠀⇒ 3x° + 30° = 180°
⠀⠀⠀⇒ 3x° = 180° - 30°
⠀⠀⠀⇒ 3x° = 150°
⠀⠀⠀⇒ x = 150°/30°
⠀⠀⠀⇒ x = 50°
The value of x = 50°
Therefore, the three angles of triangle :-
━━━━━━━━━━━━━━━━━━━
Verification :-
Add all the angles of triangle if their sum is equal to 180° then the values are right.
⠀⠀⠀⇒ 50° + 50° + 80°
⠀⠀⠀⇒ 180°
Sum of angles of triangle = 180°
Hence, verified.