Question

Find the measures of the indicated angles in circle O. Which statement is NOT true? (The figure is not drawn to scale.)

Answer 1

Answer:

c = 73

Step-by-step explanation:

We know an intercepted angle from 2 point in an arc of a circle (at the other circumference' side) is HALF of the angle measure of the arc. And if the intercepted angle is at the CENTER, its measure is SAME as the measure of the intercepted arc.

The angle 53 is given only, so we look from the 2 points in the arc of this angle. We can see that a also originates from this arc, so a is equal to 53.

B also originates from this arc, but at the center, so b = DOUBLE of 53 = 106. b = 106

b and c are supplementary (they fall in a line and thus add up to 180 degrees). So

106 + c = 180

c = 180 - 106 = 74

Looking at the answer choices, c is given as 73, which is wrong! Hence, last statement is not true.