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Question
If ABC and DEF are similar triangles such that ∠A = 47° and ∠E = 83°, then ∠C =
Options
50°
60°
70°
80°
Solution
Given: If ΔABC and ΔDEF are similar triangles such that
`∠A=47^o`
`∠ E=83^o`
To find: Measure of angle C
In similar ΔABC and ΔDEF,
`∠ A=∠D=47^o`
`∠B=∠E=83^o`
`∠C=∠F`
We know that sum of all the angles of a triangle is equal to 180°.
`
We know that sum of all the angles of a triangle is equal to 180°.
`∠ A+∠B+∠C=180^o`
`∠B+83^o +∠C=180^o`
`∠C+130^o=180^o`
`∠C=180^o-130^o`
`∠C=50^o`
Hence the correct answer is `a`
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