We read your photo as:

Using the circle theorem 'Angle at centre = 2 x Angle at circumference', find the value of x in Figure 3.

April 14, 2026Mathematics

ScanSolve AI Answer

Answer

88^\circ

3 steps

Let's determine the value of $x$ for Figure 3 using the circle theorem: "Angle at centre $= 2 \times$ Angle at circumference".

Figure 3:

Identify the angles.
The angle at the circumference subtending arc BC is $\angle BAC = 44^\circ$ .
The angle at the center subtending the same arc BC is $\angle BOC = x$ .
Apply the theorem.
$\angle BOC = 2 \times \angle BAC$ $x = 2 \times 44^\circ$
Solve for $x$ .
$x = 88^\circ$
The value for Figure 3 is:
$x = \boxed{88^\circ}$

Was this helpful?

A new problem that tests the same skill.

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

Browse by topic:Geometry

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.