In the given figure, m a = 35 , then find the value of m b + m c - Maths - The Triangle and its Properties

Question

In the given figure, m∠a = 35°, then find the value of
m∠b + m∠c

Brijendra Pal · Accepted Answer

Hi,

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5a6cc347052a8%20png"
style="width: 192px; height: 174px;">
Using linear pair, ∠1+b = 180 also ∠2+c  = 180 Adding these ∠1+∠2+c +b =360 
1Also in triangle a+∠1+∠2= 180 ∠1+∠2= 180 -a = 145  since a = 35 degreeusing eq1c +b =360-∠1+∠2= 360- 145= 215 degree

In the given figure, m∠a = 35°, then find the value of m∠b + m∠c.