In the figure below, B, D, E, F and G are on the circumference of the circle centre O. A, B and C form a tangent...

      

In the figure below, B, D, E, F and G are on the circumference of the circle centre O. A, B
and C form a tangent to the circle at point B. GD is the diameter of the circle. Given that
FG = DE, reflex angle GOB = 252°, angles DBC = 36° and FEG = 20°
fig681962019421.png
Giving reasons in each case find the angles:
a) GEB
b) BED
c) OBE
d) BGE
e) GFE

  

Answers


Kavungya
a) GBD = 90°
ABG = 180 – (90 + 36)
= 180 – 126 = 54°
GEB = ABG = 54°
b) BED = CBD = 36°
c) DGE = FEG = 20°
OEB = 90 – (36 +20)
= 90 – 56 = 34°
OBE = OEB = 34°
d) BGE = 36 + 20 = 56°
e) GFE = 180 – EDG
= 180 – 70 = 110°
Kavungya answered the question on June 19, 2019 at 13:23


Next: XYZ is a triangle in which x = 13.4cm, Z= 5cm and XYZ =57.7o . Find: (i) Length of XZ (ii) The circum radius of the triangle
Previous: In the figure below, ATX is a tangent to the circle at point T, ABC is a straight line, angle ABT = 100o, angle XTD =...

View More Mathematics Questions and Answers | Return to Questions Index


Exams With Marking Schemes

Related Questions