the exterior angles obtained on producing the base of a triangle both ways are 100° and 120°. find all the angles

Asked by raghavgargrg28 | 10th Sep, 2021, 05:11: PM

Expert Answer:

Figure shows ΔABC whose sides AB and AC are extended . 
 
If exterior begin mathsize 14px style angle end styleB =100o , then interior begin mathsize 14px style angle end styleB = ( 180 -100 ) = 80o 
If exterior begin mathsize 14px style angle end styleC =120o , then interior begin mathsize 14px style angle end styleC = ( 180 -120 ) = 60o
Then begin mathsize 14px style angle end styleA = ( 180 - 80 - 60 ) = 40o
Hence angles of ΔABC , begin mathsize 14px style angle end styleA = 40obegin mathsize 14px style angle end styleB = 80obegin mathsize 14px style angle end styleC = 60o

Answered by Thiyagarajan K | 16th Sep, 2021, 02:58: PM