Answer: m∠A=71°
Step-by-step explanation:
We know that the properties of similar triangles
- Corresponding angles are congruent or equal .
- Corresponding sides are all in the same proportion.
∴m∠A=m∠E, m∠B=m∠F=48° and m∠C=m∠G=61°
Now, in ΔABC
m∠A+m∠B+m∠C=180° [Angle sum property of triangle]
⇒m∠A+48°+61°=180°
⇒m∠A+109°=180°
⇒m∠A=180°-109°
⇒m∠A=71°
