A, B, C and D are points on the circumference of a circle with centre O.
Angle ABC = 116°
Find the size of the angle marked x.
Give reasons for your answer.

A B C and D are points on the circumference of a circle with centre O Angle ABC 116 Find the size of the angle marked x Give reasons for your answer class=

Respuesta :

Answer:

128degrees

Step-by-step explanation:

Using the theorem that states that the angle at the centre is twice the angle at the circumference, hence;

<D = 180 - 116

<D = 64

<x = 2(<D)

<x = 2(64)

<x = 128

Hence the measure of <x is 128degrees

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