Question

△ABC∼△EFG ​.

Given m∠B=48° and m∠G=61° , what is m∠A ?



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Answer 1

Explanation:

Answer 2

Answer: m∠A=71°

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°