contestada

In the diagram below, the measure of angle XAY is 72° (m∠XAY = 72°). Since the measure of the intercepted arc XY is 144°, a student named Naomi mistakenly claims that the measure of ∠XBY is also 144°.

a. In a short paragraph, explain the source of Naomi’s error. In your response, be sure to describe the problem in terms of the following two formulas:

inscribed angle = 1/2 · (intercepted arc) and
intercepted arc = central angle.

Be sure to use important vocabulary like “inscribed angle,” “central angle”, and “intercepted arc”.

In the diagram below the measure of angle XAY is 72 mXAY 72 Since the measure of the intercepted arc XY is 144 a student named Naomi mistakenly claims that the class=

Respuesta :

amna04352

Answer:

Angle of the intercepted arc is equal to the angle at the centre (central angle) but B is not the centre hence XBY is not 144°.

Angle at the circumference (inscribed angle) is half of the central angle, but XBY is not the central angle, so it's not 2×72.

Hence not 144°

Otras preguntas