Question

prove that each angle of rectangle is a right angle​

Answer 1

Answer:

LET ABC BE A RECTANGLE IN WHICH ANGLE A =90 DEGREE WE HAVE TO SHOW THAT ANGLE B= ANGLE C= ANGLE D=90 DEGREE WE HAVE AD // BC AND AB IS A TRANSVERSAL SO, ANGLE A + ANGLE B = 180 DEGREE(INTERIOR ANGLES ON THE SAME SIDE OF THE TRANSVERSAL0 BUT, ANGLE A =90 DEGREE SO, ANGLE B = 180 - ANGLE A = 180 - 90 = 90 DEGREE ANGLE C= ANGLE A AND ANGLE D= ANGLE B (OPPOSITE ANGLES OF THE //GM) SO, ANGLE C=90 AND ANGLE D=90 THEREFORE, EACH OF THE ANGLES OF A RECTANGLE IS 90 DEGREE. HENCE,PROVED

Answer 2

Step-by-step explanation:

We know that opposite sides of a rectangle are parallel and all angles are equal.

Let's take any 2 adjecent angles .

Let all angles be x

2x=180 (Allied angles)

x=90