Question

which of the following measures of three angles can be those of a triangle? a) 52°, 69°, 79° b) 3೦°, 69°, 71° c) 132°, 169°, 59° d) 32°, 69°, 79°​

Answer 1

Answer:

option d can be taken as angles of a triangle

I hope my answer helps you☺☺

Answer 2

Answer :-

• Option d) is the correct answer.
• 32°, 69° and 79° are the angles of a triangle.

Step-by-step explanation :-

Sum of all the angles in a triangle = 180°.

We have four options here.

Now, obviously, the three angles which will add up to 180° can be those of a triangle.

Therefore, we have to add the value of all the angles one by one and see which option is suitable.

Option a.

$\sf 52^{\circ} + 69^{\circ} + 79^{\circ} = 200 ^{\circ}$

So these angles are not of a triangle.

Option b.

$\sf 30^{\circ} + 69^{\circ} + 71^{\circ} = 170^{\circ}$

So these angles are not of a triangle.

Option c.

$\sf 132^{\circ} + 169^{\circ} + 59^{\circ} = 360^{\circ}$

So, these angles are not of a triangle.

Option d.

$\sf 32^{\circ} + 69^{\circ} + 79^{\circ} = 180^{\circ}$

Since these angles add up to 180°,

Therefore they are the angles of a triangle.

Hence option d) is correct ✔️✔️