If triangle ABC is similar to triangle d e f if a is equal to 45 degree and is equal to 35 degree then find b is equal to what
Answers
Step-by-step explanation:
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;
∠ 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°.
Answer:
ans is 35⁰
Corresponding angles of similar triangles are congruent.
thus.
Angle B congruent Angle E
thus the angle E=35⁰
therefore angle B= 35⁰
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