Question

In triangle ABC and Triangle DEF are similar triangles such that Angle A=47 degree, and Angle E=83 degree, then find Angle C.

Answer 1

Triangle ABC is similar to Triangle DEF
So angle A = D
& B = E
& C = F

SO ANGLE B = 83

APPLY ANGLE SUM PROPERTY
A+B+C=180
47+83+C=180
C=180-130
C=50

Answer 2

Given:

A triangle ABC and Triangle DEF are similar triangles such that Angle A=47 degrees, and Angle E=83 degrees.

To Find:

Angle C.

Solution:

To find the angle C we will follow the following steps:

As we know,

In similar triangles, corresponding sides and corresponding angles are always equal.

Triangle ABC is similar to triangle DEF.

So,

Angel A = Angle D = 47°

Angel B = Angle E = 83°

Angel C = Angle F

Also, as we sum of all angles of the triangle is equal to 180°.

Now,

In triangle ABC,

AngleA + AngleB + AngleC = 180°.

47 + 83 + AngleC = 180°

AngleC = 180° - 130°

= 50°

Henceforth, AngleC is equal to 50°.