Let A be the angle of 79 degrees B be the angle of (5y-4) degrees C be the angle of (x+5) degrees D be the angle of (9z-7) degrees According to the property of parallelogram Opposite angles are equal We get, angle A = angle C Since angle A = 79 degrees And angle C = (x+5) degrees We get, x+5=79 => x=79-5=74.
Angle B = Angle D (5y-4)=(9z-7) Since there’s two variables here, we can’t use the property of “opposite angles are equivalent” We have to use another property which is adjacent angles are equal Therefore, we can find angle D Angle D + Angle A=180 => 9z-7 =180-79 z=108/9 z=12 Since (5y-4)=(9z-7) Substitute z=12 in We get, 5y-4=101 y= 105/5 y= 21 Therefore, x=74, y=21 and z=12.
A) because the highlighted arc is bigger than a semicircle you already know that it’s a major arc, because a minor arc will always be smaller than a semicircle. A) Major arc
