Question

Find the values of $x$ and $y$ in the given triangles, where $\angle A={70}^o,\angle B={36}^o,\angle D={68}^o$ and $\angle F={56}^o$

• A. $x=103,y=80$
• B. $x=105,y=75$
• C. $x=105,y=87$
• D. $x=110,y=77$

Answer 1

The correct option is C $x=105,y=87$

$A+B+C=180\Rightarrow C=180-(70+35)\Rightarrow C=75$

$C+D+E=180\Rightarrow E=180-(68+75)\Rightarrow E=37$

$E+F+G=180\Rightarrow G=180-(37+56)\Rightarrow G=87$

$x+C=180\Rightarrow X=180-75=105$

$y=G=87$

$\therefore x={105}^{\circ },y={87}^{\circ }$