Two angles of a triangle are equal and third angle is smaller than others by 15°. Find
the angles.
Answers
Answer:
Equal angles are
65°
and the third angle is 50°
Step-by-step explanation:
Let the 2 equal angles be x
a/q
x+x+(x-15) =180
3x-15 =180
3x= 195
x= 195/3= 65
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Answer: 65°, 65° and 50°
Hiii....
1st angle = x
2nd angle = x
3rd angle = x - 15
Im taking the first two angles as the same variable since both of them are equal. The question said the third angle was 15° less than the other angle, which means it is x -15. Now we know that the sum of all angles is 180°, which means:
x + x + x - 15 = 180
3x - 15 = 180
3x = 180 + 15
3x = 195
x = 195/3
x = 65°
Which means the angles are:
1st Angle = x = 65°
2nd Angle = x = 65°
3rd Angle = x - 15°
= 65° - 15°
= 50°
Hope this was clear and helpful
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