The biggest angle of a triangle is 10- more then twice of the smallest angle and the third angle is 10- more then the smallest angle- The three angles add up to 180- Find the smallest angle-

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Angle Sum Property for Triangles

The biggest a...

Question

The biggest angle of a triangle is 10^o more then twice of the smallest angle and the third angle is 10^o more then the smallest angle. The three angles add up to 180^o. Find the smallest angle?

20^o

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30^o

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50^o

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40^o

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Solution

The correct option is D
40^o

Let the smallest angle be s^o

Biggest angle = (10 + 2s)^o

Third angle = (10+s)^o

Now, s^o+ (10 + 2s)^o + (10 + s)^o = 180^o

4s + 20 = 180

4s = 160

s = 40

Thus, smallest angle = 40^o

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The biggest angle of a triangle is 10o more then twice of the smallest angle and the third angle is 10o more then the smallest angle. The three angles add up to 180o. Find the smallest angle?

The correct option is D 40oLet the smallest angle be so Biggest angle = (10 + 2s)o Third angle = (10+s)o Now, so + (10 + 2s)o + (10 + s)o = 180o 4s + 20 = 180 4s = 160 s = 40 Thus, smallest angle = 40o

The biggest angle of a triangle is 10^o more then twice of the smallest angle and the third angle is 10^o more then the smallest angle. The three angles add up to 180^o. Find the smallest angle?

The correct option is D
40^o

Let the smallest angle be s^o

Biggest angle = (10 + 2s)^o

Third angle = (10+s)^o

Now, s^o+ (10 + 2s)^o + (10 + s)^o = 180^o

4s + 20 = 180

4s = 160

s = 40

Thus, smallest angle = 40^o