Question

ABCD is a quadrilateral .Find x
A.180
B.107
C.124
D.142

Answer 1

${\bold{\sf{⟹ }}}$${\red{\sf{Sum\:of \:all\:angles =360°}}}$

${\bold{\sf{⟹ }}}$${\red{\sf{90°+56° +x+x=360°}}}$

${\bold{\sf{⟹ }}}$${\red{\sf{2x=360°-56°-90°}}}$

${\bold{\sf{⟹ }}}$${\red{\sf{2x=214°}}}$${\bold{\sf{⟹ }}}$$\boxed{\red{\sf{x =107°}}}$

Answer 2

Answer:

x+x+90°+56°=360°

2x+146°=360°

2x=360°-146°

2x=214°

x=214÷2

x=107°

Therefore , option B is the correct