Question

If ∆ abc is congruent to ∆ def , angle a is 100 degree and angle b is 45 degree then angle f is?

Answer 1

Here is the answer to the question

Answer 2

Answer:

The measure of ∠F is 35°.

Step-by-step explanation:

In ∆ ABC

⇒ ∠A = 100°

⇒ ∠B = 45°

It is given that ∆ ABC and ∆ DEF are congruent.

⇒ ∠A = ∠D ------- (C.P.C.T)

⇒∠A = 100°

⇒ ∠D = 100°

⇒∠B = ∠E ------- (C.P.C.T)

⇒∠B = 45°

⇒ ∠E = 45°

We have got the values of 2 angles of ∆ DEF, third angle's value can be found by angle sum property of triangle.

⇒ ∠D + ∠E + ∠F = 180°

⇒ 100° + 45° + ∠F = 180°

⇒ 145° + ∠F = 180°

⇒ ∠F = 180° - 145°

⇒ ∠F = 35°

∠F = 35°

Therefore, the measure of ∠F is 35°.