Question

A classmate believes that a triangle can have both a right angle and an obtuse angle. Which of the following statements would you use to convince him that he is incorrect?
A. It is not possible because the sum of the angles in the triangle can’t exceed 180°.

B. It is not possible because if a triangle has an obtuse triangle, that means all the angles
are obtuse angles.

C. It is not possible because if a triangle has a right triangle, that means all the angles
are right angles.

D. It is possible. The classmate is correct

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Answer 1

@mathmale @mathslover

Answer 2

Do you know what is obtuse angle?

Answer 3

yea

Answer 4

So, is 92 an obtuse angle? and is 86 an obtuse angle?

Answer 5

yea and yes

Answer 6

No... well, that means you don't know what an obtuse angle is.

Obtuse angle is an angle which is less than 180 degrees and greater than 90 degrees.

That is :

\(\boxed{90< \color{blue}{ \text{Obtuse Angle} }< 180}\)

Answer 7

So, if an angle is 88 degrees, then as it is less than 90 degrees, so it will not be an obtuse angle...!

And if the angle is 92 degrees, it is an obtuse angle.

Answer 8

k

Answer 9

Now, a right angle has a fixed value which is 90 degrees.

So. 90 + obtuse angle will always be greater than 180 degrees.

Answer 10

ok ummm

Answer 11

Just suppose, the min. value of obtuse angle will be somewhat like 90.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000......1

Add this to right angle... what do you get?

180.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.....1

Isn't that greater than 180? ;)

Answer 12

sum of 3 angles of a triangle is 180 degree. right?

Answer 13

Sorry for those "0" s but I think that was important to show : P

Answer 14

yesit is

Answer 15

lilcece, did you get it?

Answer 16

is it like D .

Answer 17

i think my attachment works bettet

Answer 18

you did not put no attachment

Answer 19

hero send me warning for my attachment

Answer 20

wt do u think abt a

Answer 21

umm i dont see it

Answer 22

@mathslover is it D

Answer 23

hm

Answer 24

@lilcece , as I said above...

right angle + obtuse angle can not be 180 or less than it.

Answer 25

see again.. obtuse angle is basically between 90 and 180 (excluding 90 and 180)

So, right angle + obtuse angle + the third angle = 180 (TRIANGLE ANGLE SUM PROPERTY)

or

90 + obtuse angle + third angle should be 180

As the third angle can not be negative or zero , thus :

90 + obtuse angle + third angle that is the sum of all the angles of triangle will not be 180 degress.

Answer 26

*degrees.

Answer 27

a tringle has 3 angles nd no angle is equal to 0 degree

Answer 28

I can give you a good proof why angles in a triangle are supplementary

Answer 29

ooohhh so A got it its A

Answer 30

yes

Answer 31

yes A