Question

If ABC and DEF are similar triangles such that ∠A = 47° and ∠E = 83°, then ∠C =

Options

• 50°

•  60°

• 70°

• 80°

Answer 1

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`