What is the measure of G What is the measure of x (Will give brainy)

Question 1

What is the measure of G
What is the measure of x

(Will give brainy)

Question 2

Answer:

Here according to diagram

In triangle DOG

$\qquad\quad {:}\longrightarrow\tt \angle D=\angle O=63°$

${\boxed{\tt Sum\:of\:angles=180°}}$

$\qquad\quad {:}\longrightarrow\tt 63+63+x=180$

$\qquad\quad {:}\longrightarrow\tt 126+x=180$

$\qquad\quad {:}\longrightarrow\tt x=180-126$

$\qquad\quad {:}\longrightarrow\tt x=54$

$\therefore\angle {G}=54°.$

Again apply sum theory

$\qquad\quad {:}\longrightarrow\tt 40°+x+x=180$

$\qquad\quad {:}\longrightarrow\tt 2x+40=180$

$\qquad\quad {:}\longrightarrow\tt 2x=180-40$

$\qquad\quad {:}\longrightarrow\tt 2x=140$

$\qquad\quad {:}\longrightarrow\tt x=\frac {140}{2}$

$\qquad\quad {:}\longrightarrow\tt x=70$

$\therefore \tt x=70°.$

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