Question

Un rombo tienen un angulo de 22 grados. Cuanto vale la suma de sus angulos que no midan 22 grados???!!!???!!!????

Answer 1

Hello!

The answer is:

The sum the other angles that do not measure 22° is equal to 316°.

`158\°+158\°=316\°`

Why?

To find the sum of the rest of the angles, we need to remember that a rhombus has two adjacent and equal angles, and also it has two opposite and equal angles.

So, we are given that the rhombus has an angle of 22°, and to calculate the other angles, let be the given angle an adjacent angle, so:

`360\°=2*AdjacentAngles+2*OppositeAngles\\\\360\°=2*22\°+2*OppositeAngles\\\\2OppositeAngles=360\°-2*22\°=316\°\\\\OppositeAngles=(316\° )/(2)=158\°`

Hence, we have that the sum of its other angles that do not measure 22° is equal to 316°.

Have a nice day!