Respuesta :

A triangle has three angles, and all of them adds up to 180 degrees. Therefore, if one angle is 90 degrees, the other two angles must add up to 90 degrees in order for the angles to equal 180 degrees.

Answer:

If one angle of a triangle is 90°, then the other two add to 90°.

Step-by-step explanation:

Let one angle of a triangle is 90°.

Let in triangle ABC the measure of angle B is  90°.

According to the angle sum property of the triangle the sum of interior angles of a triangle is always 180°.

Using angle sum property of a triangle, we get,

[tex]\angle A+\angle B+\angle C=180^{\circ}[/tex]

[tex]\angle A+90^{\circ}+\angle C=180^{\circ}[/tex]

[tex]\angle A+\angle C=180^{\circ}-90^{\circ}[/tex]

[tex]\angle A+\angle C=90^{\circ}[/tex]

Therefore the sum of angle A and C is 180°.

Hence proved that If one angle of a triangle is 90°, then the other two add to 90°.

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