https://file.aiquickdraw.com/mathbot/file/1726559248654ccn9eu95.jpg

The given question is asking to find the value of angle ∠BOC in the diagram.

### Steps to solve:

1. The lines \( AB \), \( CD \), and \( EF \) intersect at point \( O \).
2. You are given two angles: ∠AOF = 98° and ∠DOE = 54°.
3. Since the angles around point \( O \) form a complete circle, the total sum of all angles is 360°.

Now, using this information:
- ∠AOF + ∠BOC + ∠DOE = 180° (because these are supplementary angles on a straight line).

Let's calculate:
- ∠BOC = 180° - (∠AOF + ∠DOE)
- ∠BOC = 180° - (98° + 54°)
- ∠BOC = 180° - 152°
- ∠BOC = 28°

So, ∠BOC is 28°.

Would you like further details or have any questions? Here are five related questions for you:

1. How do we find angles around a point?
2. What is the concept of supplementary angles?
3. How can you verify the sum of angles in a circle?
4. What would change if one of the angles was given differently?
5. How do we classify angles (acute, obtuse, etc.) based on their measurement?

**Tip**: Always remember that the sum of angles around a point is 360°, which helps in solving many geometry problems.

दी गई आकृति में AB, CD व EF तीन सरल रेखाएँ हैं जो O बिंदु पर प्रतिच्छेद करती हैं। ∠BOC का मान ज्ञात कीजिए।

Solve the geometry problem where three lines (AB, CD, EF) intersect at point O, and you need to calculate the value of ∠BOC using angle properties around a point and supplementary angles. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation