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°.
