Question

If $△ABC\sim △DEFand\angle A={45}^o,\angle E={87}^o,then\angle C=$____________.

• A. ${45}^o$
• B. ${87}^o$
• C. ${48}^o$
• D. None of these

Answer 1

The correct option is C ${48}^o$

$\because △ABC\sim △DEF$

$\therefore \angle B=\angle E={87}^o$

$a\angle A={45}^o$

we know, sum of all angles of $△={180}^o$

$\therefore \angle A+\angle B+\angle C={180}^o$

or, ${45}^o+{87}^o+\angle C={180}^o$

$\therefore \angle C={48}^o$