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
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The value of 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 ABC ~ DEF, this means that;
A = D, B = E and C = 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 ABC,
A + B + C = 180°
Here we are given A = 45° and B = 56°, that means;
45° + 56° + C = 180°
101° + C = 180°
C = 180° - 101° = 79°.
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