Question

In the adjoining figure ,triangle FAN is congruent to triangle MUG ,FE is perpendicular to AN and MS is perpendicular to UG.Prove that triangle FEA is congruent to triangle MSU and FE=MS
SOLVE STEP BY STEP​

Answer 1

Let the required angle be xo.

Then, its complementary and supplementary angles are (90o – x) and (180o – x) respectively.

Then, 7(90o – x) = 3 (180o – x) – 10o

⇒ 630o – 7x = 540o – 3x – 10o

⇒ 7x – 3x = 630o – 530o

⇒ 4x = 100o

⇒ x = 25o

Thus, the required angle is 25o.