Question

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Find the value of X in the following figures where O is the centre of the circle​.​

Answer 1

Explanation:

#1

Centre = O

x = 35 × 2

x = 70⁰

#2

Centre = O

x = 110/2

x = 55⁰

#3

Centre = O

x = 70/2

x = 35⁰

#4

Centre = O

A right angle triangle has a side of 90⁰

x = 90 - 55

x = 35

Answer 2

9514 1404 393

Answer:

1. 70°
2. 55°
3. 35°
4. 35°

Explanation:

An inscribed angle is half the measure of the central angle that intercepts the same arc.

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(i) 35° = x/2 ⇒ x = 70°

(ii) x = 110°/2 = 55°

(iii) x = 70°/2 = 35°

(iv) x = 90° -55° = 35° . . . . a triangle inscribed in a semicircle is a right triangle