Question

Find the value of x in this figure.

Answer 1

The value of x = 47°

Explanation:

From the figure we can see that a circle with center O.

PQ is a tangent to the circle fro point P.

m<P = 43°

Therefore <Q = 90°

To find the value of x

From the given triangle we can write,

x + m<Q + m<P = 180

x = 180 - (m<Q + m<P)

= 180 - (90 + 43)

= 180 - 133 = 47°

Therefore the value of x = 47°

Answer 2

The value of x is 47°

EXPLANATION

PQ is a tangent to the circle at Q.

This tangent meets the diameter at 90°.

The sum of interior angles of a triangle is 180°

This implies that:

`90 \degree + x + 43 \degree = 180 \degree`

`133 \degree + x = 180 \degree`

Group similar terms to obtain;

`x = 180 \degree - 133 \degree`

Simplify similar terms to get;

`x = 47\degree`