Question

If ABC and DEF are similar triangles such that $\angle A$ = 47° and $\angle E$ = 83°, then $\angle C$ =
(a) 50°
(b) 60°
(c) 70°
(d) 80°

Answer 1

Answer:

The measure of ∠C is 50° .

Among the given options option (a) is the correct answer.

Step-by-step explanation:

Given:

ΔABC ~ ΔDEF.

∠A = 47° , ∠E = 83°

In ∆ABC & ∆DEF

ΔABC ~ ΔDEF.

[By AAA similarity criterion]

∠A = ∠D = 47°

∠B = ∠E = 83°  

∠C = ∠F

[corresponding angles of a similar triangles are equal]

In ∆ABC,  

∠A + ∠B + ∠C = 180°

[By angle sum property of a triangle]

47° + 83° + ∠C = 180°

130° + ∠C = 180°

∠C = 180° - 130°  

∠C = 50°  

Hence, the measure of ∠C is 50° .

HOPE THIS ANSWER WILL HELP YOU ..

Answer 2

Hey mate!!

sum Angles of triangle =180°

Given =47°,83°

let angle C =x

47°+83°+x=180°

130°+x=180°

x=180°-130°

x=50°

Option a is correct

hope it's help uh