In the figure given, parallel lines, AB and CD, are intercepted by a transversal t at E and F, respectively. If EG is the angle bisector of $\angle AEF$, find $\angle EGF$.
∠AEF = Corresponding ∠CFt (external) = 70°.
∠GEF = ∠AEF ÷ 2 = 70° ÷ 2 = 35°.
∠EFG = 180° − (70° + 25°) = 85°.
∠EGF = 180° − (35° + 85°) = 180° − 120° = 60°.
Important Questions from Lines and Angles
If the angles of a triangle are in the ratio of 2 : 5 : 8, then find the value of the largest angle.
A. 36°
B. 96°
C. 84°
D. 60°
If (6y + 70)° and (3y + 47)° are supplementary angles, find the value of y.
A. 12
B. 15
C. 7
D. 10
An angle is 60° more than one-fifth of its complement. Find the smaller angle in degrees.
A. 65°
B. 35°
C. 25°
D. 45°
If the angles of a triangle are in the ratio of 2 : 3 : 5, then find the ratio of the greatest angle to the smallest angle.
A. 7 : 2
B. 5 : 2
C. 5 : 3
D. 3 : 5
A straight angle is equal to?
A. 90°
B. 180°
C. 270°
D. 360°
