we are given
Triangle ABC is a right triangle
It means that one of angle is at right angled
Let's assume angle C is at right angled
so,
[tex]C=90[/tex]
now, we know that sum of all three angles of any triangle is always 180
so,
[tex]A+B+C=180[/tex]
we can plug C=90
[tex]A+B+90=180[/tex]
Subtract both sides by 90
[tex]A+B+90-90=180-90[/tex]
[tex]A+B=90[/tex]
We know that
when sum of two angles are 90 degree or at right angle
then those two angles are complementary angles
so,
They are complementary..........Answer
Answer:
A and B are complementary angles.
Step-by-step explanation:
We know that triangle ABC is a right angled triangle so one of the angles among A, B or C is 90°.
The sum of all three angles of a triangle is 180° so assuming angle C to be the right angle (i.e. 90°), we can write it as:
[tex]A+B+C=180[/tex]°
[tex]A+B+90= 180[/tex]°
[tex]A+B=180-90[/tex]
[tex]A+B= 90[/tex]
We know that if two angles add up to a sum of 90°, they are said to be complementary angles.
Since here in this case, [tex]A+B= 90[/tex], therefore A and B are complementary angles.
