Answer: The required Value of x is 80°
Explanation:
From the figure notice that: m⦟B =20°, m⦟C=20°
Recall that the sum of all the 4 interior angles of a quadrilateral is equal to 360°, it follows:
m⦟ CAB+m⦟ ABP+m⦟ ACP+ m obtuse ⦟P=360°
Recall that the measure of angle inscribed in a circle is half the measure of the central angle that intercepts the samee arc, follows: m⦟A = 1/2x°
By using Obtuse Angle, It follows: M⦟P=360°-x°
m⦟A+m⦟B+m⦟C+m⦟P=360°
Substitute
m⦟A=1/2x°, m⦟B=20°,m⦟C=20° and m⦟P=(360°-x°), it follows:
1/2x°+20°+20°+(360°-x°)= 360°
Rewrite the equation:
1/2x+20+20+(360-x)= 360
The required value of x is:
X=80°
I hope this helped :)