Answer:
The value of x is 45°
Option C is correct.
Explanation:
Given the figure of pentagon in which measure of interior angles are
∠1=90°, ∠2=148°, ∠3=(3x+10)°, ∠4=x°, ∠5=112°
we have to find the value of x
As the sum of the internal angles in a simple pentagon is 540°.
∴ ∠1+∠2+∠3+∠4+∠5=540°
90°+148°+(3x+10)°+x°+112°=540°
4x+360°=540°
4x=540-360
4x=180
x=45
Hence, the value of x is 45°
Option C is correct.