Question

if triangle ABC similar triangle DEF such that angle A = 45 degree and Angle b = 56 degree then find the value of angle C full solution....plz

Answer 1

The value of $\angle$C = 79°.

Step-by-step explanation:

We are given that triangle ABC is similar to triangle DEF such that angle A = 45 degrees and Angle B = 56 degrees.

And we have to find the value of angle C.

Since $\triangle$ABC ~ $\triangle$DEF, this means that;

$\angle$A = $\angle$D,  $\angle$B = $\angle$E  and  $\angle$C = $\angle$F

As we know that the angle sum property of the triangle says: The sum of all angles of the triangle is equal to 180°.

So, In $\triangle$ABC,

$\angle$A + $\angle$B + $\angle$C = 180°

Here we are given $\angle$A = 45° and $\angle$B = 56°, that means;

45° + 56° + $\angle$C = 180°

101° + $\angle$C = 180°

$\angle$C = 180° - 101° = 79°.