Answer:
The measure of angle A = 65°
Step-by-step explanation:
The sum of opposite angles of cyclic quadrilateral is 180°
From the figure we can see that,quadrilateral ABCD is inscribed in a circle.
To find the value of x
m<B + m<D = 180°
x + 148 = 180
x = 180 - 148 = 32°
To find the value of angle A
m<A = 2x + 1
x = 32
m<A = 2*32 + 1 = 64 + 1 = 65°
Therefore the measure of angle A = 65°
