Question

What is the m∠ABC?

1)m∠ABC = 60°
2)m∠ABC = 67°
3)m∠ABC = 120°
4)m∠ABC = 127°

Answer 1

i believe it is 4)m∠ABC = 127°

Answer 2

we are given

m∠BCD =67

and  m∠BDC=60

we know that

m∠ABC is exterior angle

m∠BCD  and  m∠BDC are interior angles

exterior angle is sum of interior angles

so, we can write it as

m∠ABC=m∠BCD+m∠BDC

now, we can plug values

and we get

m∠ABC=60+67

m∠ABC=127

so, option-4.........Answer