Answer:
x = 90degrees and y = 45degrees
Step-by-step explanation:
To get x, we will use the theorem that states that 'the measure of the vertex angle is equal to the half of the difference of the measures of its intercepted arcs. Hence;
45 = 1/2 (180 - x)
Cross multiply
45*2 = 180 - x
90 = 180 - x
x = 180 - 90
x = 90degrees
Let the angle o the same line with y be z. Hence;
z = 1/2(180+x)
z = 1/2(180+90)
z = 1/2 * 270
z = 135
Sum of angle on a straight line is 180 degrees
z + y = 180
135 + y = 180
y = 180 - 135
y = 45
Hence x = 90degrees and y = 45degrees
