The image you provided contains two separate questions involving circle geometry, specifically concerning angles in circles and tangents. Let's break down each section:

Left Side Question:

This question is in Malay, and it translates as: In the diagram:

• $\angle BAF = 110^\circ$
• $\angle ACF = 40^\circ$
• $\angle CFD = 110^\circ$
• $\angle BFC = 20^\circ$

The task is to determine the following values:

• a) $\angle ABF$
• b) $\angle RFA$

Solution for (a) $\angle ABF$:

Using the fact that $\triangle ABF$ is part of a cyclic quadrilateral, we can apply the following property: the sum of opposite angles in a cyclic quadrilateral is $180^\circ$. Thus, $\angle ABF + \angle BAF = 180^\circ$ Given $\angle BAF = 110^\circ$, we can solve: $\angle ABF = 180^\circ - 110^\circ = 70^\circ$

Solution for (b) $\angle RFA$:

This angle likely involves additional geometric properties related to the cyclic nature of the quadrilateral. More information from the diagram would be needed for an exact calculation, but it may involve either supplementary angles or the sum of angles in triangles.

Right Side Question:

This is in both Malay and English, and it involves determining angles in a circle. The information given:

• $QW = RW$ (chords are equal)
• $\angle QWR = 40^\circ$
• $\angle WRT = 35^\circ$

You are asked to find:

• a) $\angle QSR$
• b) $\angle WQT$
• c) $\angle WRQ$
• d) $\angle QBT$

Solution for part (a) $\angle QSR$:

Using the information from the diagram and the given angles, you can apply the inscribed angle theorem, which relates the arc intercepted by an angle to the angle subtended at a point on the circumference. Specifically, the angles subtended by the same arc are equal.

To proceed with the exact calculations for each angle, more geometric properties (such as the symmetry of the circle and other given relationships) would be necessary.

If you'd like me to go further or if there's a specific part you'd like more details on, feel free to ask! Here's a set of related questions that might help you explore these topics:

Related Questions:

1. What is the cyclic quadrilateral theorem, and how is it applied in circle geometry?
2. How can we use the chord properties to find unknown angles in a circle?
3. What is the relationship between inscribed angles and arcs in a circle?
4. How does the alternate segment theorem work in solving circle geometry problems?
5. Can the exterior angle theorem be applied to circles? If so, how?

Tip:

Remember, in circle geometry, the sum of the opposite angles in a cyclic quadrilateral always equals 180°. This is a key property that can simplify many angle-related problems.