in the given figure find x
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Answer:
1st angle = 65°
2nd angle = 35°
3rd angle = 80°
Step-By-Step Explanation:
The Angle Sum Property of a triangle states that the sum of all interior angles of a triangle is 180°
1st angle = (2x + 15)°
2nd angle = (x + 10)°
3rd angle = (3x + 5)°
Sum = 180°
(2x + 15) + (x + 10) + (3x + 5) = 180°
2x + 15 + x + 10 + 3x + 5 = 180°
2x + x + 3x + 15 + 10 + 5 = 180°
6x + 30 = 180°
6x = 180° - 30
6x = 150°
x = 150° ÷ 6
x = 25°
Hence, 1st angle = (2x + 15)°
= 2 × 25 + 15°
= 50° + 15°
= 65°
2nd angle = (x + 10)°
= 25° + 10°
= 35°
3rd angle = (3x + 5)°
= 3 × 25 + 5°
= 75 + 5°
= 80°
Hope it helps
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