IKMC 2027 - Grades 11-12 - Self-study SET 11 - Thematic Batch 3 Question 16

Question 16

In triangle ABC, the two circles through B and C meet at D and E as shown. Which statement about angle GEF must be true?

1. $\widehat{GEF}$ = 2$\widehat{A}$
2. $\widehat{GEF}$ = $\widehat{B}$ + $\widehat{C}$
3. $\widehat{GEF}$ = 180° − $\widehat{B}$ − $\widehat{C}$
4. $\widehat{GEF}$ = $\widehat{B}$ + $\widehat{C}$ − $\widehat{A}$
5. The size of $\widehat{GEF}$ depends on the dimensions of triangle ABC.