2 years ago

Given the labeled diagram at the left. Find X.

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

6 0

Answer:

x = 55°

Step-by-step explanation:

Measure of central angle is equal to the measure of the corresponding minor arc

Therefore, m(central angle) = 70°

Since, radii of same circle are equal

Therefore, measure of the angles opposite to them are also equal.

So, by interior angle sum postulate of a triangle:

x + x + 70° = 180°

2x = 180° - 70°

2x = 110°

x = 110°/2

x = 55°

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