Question

find the 10 degree value can u help me on it ​

Answer 1

Solution:-10

As <AGQ and <EQG are corresponding interior angles

$\\ \qquad\quad\sf{:}\twoheadrightarrow 60°+a=180$

$\\ \qquad\quad\sf{:}\twoheadrightarrow a=180-60$

$\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow a=120}$

• <AGQ=<PQR=60°
• <BHF=<PRQ=75°

$\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow b=75°}$

According to angle sum property

$\\ \qquad\quad\sf{:}\twoheadrightarrow b+c+<PQR=180$

$\\ \qquad\quad\sf{:}\twoheadrightarrow c+75+60=180$

$\\ \qquad\quad\sf{:}\twoheadrightarrow c+135=180$

$\\ \qquad\quad\sf{:}\twoheadrightarrow c=180-135$

$\\ \qquad\quad\boxed{\sf{:}\twoheadrightarrow c=45°}$