Solve the question seen in the attachment are yar dedo please ☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹☹​

Solution :-

SSS congruence rule = side - side - side

• if all three sides of two triangles are equal to each other, then the traingles are congruent by SSS congruency rule

CPCT : Corresponding parts of congruent triangles

• two or more triangles are congruent, then all of their corresponding angles and sides are congruent as well

__________________________(i) prove that ∆ABM ≅ ∆ACM

in ∆ABM and ∆ACM

• AB = AC (given)
• BM = CM (given)
• AM = AM (common)

so, ∆ABM ≅ ∆ACM by SSS congruency rule

_______________________(ii) find ∠CAM

we have, ∆ABM ≅ ∆ACM

➪ ∠CAM =∠BAM (by CPCT)

_______________________(iii) find ∠ABM

we have, ∆ABM ≅ ∆ACM

➪ ∠ABM =∠ACM (by CPCT)

________________________(iv) Find ∠AMC

now, in ∆AMC

★ by using angles sum property of a triangle

• sum of all interior angles of a triangle is equal to 180°