Explanation:
M(<BAC)=95° , M(<ABC)=2x , M(<ACD)=145°
let M(<ACB)=y
Then M(<ACB)+M(<ACD)=180° , Because they are in a straight line and straight line can measure 180°.
so , y+145°=180°
y=180°_145°
y=35° , M(<ACB)=35°
The sum.of the interior angle of any triangle is 180° . so now we have 95° , 38° and 2x so the value of x be
95°+35°+2x =180°
130°+2x=180°
2x=180°_130°
2x=50° , divide both sides by 2 to find the value of x
x=25° , 2*25°=50° , M(<ABC)=50°
M(<BAC)=95°, M(<ABC)=50° , M(<ACB) =35°
95°+50°+35°=180°