Question

construct an angle of 90 at the intail of given ray and justify the construction ​

Answer 1

Answer:

Step-by-step explanation:

DRAW ANY RAY AB

DRAW AN ARC OF ANY RADIUS AS AS ITS CENTRE

KEEPING THE SAME RADIUS  DRAW AN ARC CUTTING THE PREVIOUS ARC WITH THE POINT WHERE THE PREVOUS ARC CUT THE  RAY AS CENTRE

THIS POINT MARK AS C WE KNOW ANGLE CAB= 60

NOW FROM C WITH SME RADIUS CUT THE FIRST ARC THIS GIVES A NEW POINT D NOW DAC = 60 (IF WE TAKE ZC AS A RAY)

BISECT ANGLE DAC  THIS ANGLE MARK AS E ∠EAB=90°

PROOF

WE KNOW ∠CAB=∠DAC = 60°  AND WE BISECTED NGLE DAC TO ∠DAE AND ∠EAC BOTH= 30 THUS ∠EAB=∠CAE+∠CAB=60+30=90°