Q.5)The anlges of a triangle are arranged in ascending order of magnitude. If the different between two consecutive angles is 10°, find the three angles.
Answers
Step-by-step explanation:
If the three angles are all 10 degrees greater or less than each other, and the smallest angle is x, then the middle angle is x + 10, and the largest is x + 20.
Since a triangle always adds up to 180 degrees, we can say x + x + 10 + x + 20 = 180.
3x + 30 = 180, once we combine like terms.
x + 10 = 60, once we divide by the common factor of 3.
x = 50, once we subtract.
This means the angles are 50, 60, and 70 degrees.
Another way of thinking is that the average of the largest and smallest angles is the middle angle, so 3 * the middle angle is 180 degrees. Since 180/3 = 60, we know the middle angle is 60, and the others are 50 and 70.
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Answer:
7th
Maths
The Triangle and Its Properties
Angle Sum Property
The angles of a triangle ar...
MATHS
The angles of a triangle are arranged in ascending order of their magnitude. If the difference between two consecutive angles is 10
o
, find the three angles.
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ANSWER
Let one angle of a triangle be x.
Second angle will be x+10.
Third angle will be x+20.
Using theorem, Sum of interior angles of a triangle is 180
.
Hence ∠A+∠B+∠C=180
⇒x+x+10+x+20=180
⇒3x+30=180
⇒x=50
∴ Angles are 50
,60
,70
Step-by-step explanation:
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