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is it true that a right angled triangle has two acute angle

is it true that an acute angled triangle has three acute angles

is it true that an obtuse angled triangle has one obtuse angle

Please find below the solution to the asked query:

1 ) is it true that a right angled triangle has two acute angle .

We know from angle sum property of triangle that sum of all three internal angles of any triangle is 180$\xb0$ .

Here one of the angle is 90$\xb0$ , So sum of rest of two angle must be 90$\xb0$ .

Therefore,

It is true that a right angled triangle has two acute angle .

2 ) Is it true that an acute angled triangle has three acute angles .

We know acute angle is angles less than 90$\xb0$ and acute angle triangle have all three angles less than 90$\xb0$ .

Therefore,

It is true that an acute angled triangle has three acute angles .

3 ) Is it true that an obtuse angled triangle has one obtuse angle .

We know from angle sum property of triangle that sum of all three internal angles of any triangle is 180$\xb0$ .

And

We know obtuse angle is angles more than 90$\xb0$ .

Here one of the angle is more than 90$\xb0$ , So sum of rest of two angle must be less than 90$\xb0$ .

Therefore,

It is true that an obtuse angled triangle has one obtuse angle .

Hope this information will clear your doubts about The Triangle and its Properties .

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