Question

A
(5x − 3)°
B
E
(7x+15)°
D
(6y + 7)°
C

Answer 1

The value of x = 14 ...

The value of ∠AED = ( 7x + 15) = 7(14) + 15 = 113

The value of ∠AEB = 5x-3 = 5(14) -3 = 67

Explanation:

=> ∠BEC = ∠AED { vertically opposite angles }

∠AED = (7x + 15)°

=> ∠AEB + ∠BEC = 180° { linear pair }

=> ( 5x-3) + ( 7x+15) = 180°

=> 5x -3 + 7x + 15 = 180°

=> 12x + 12 = 180°

=> 12( x +1 ) = 180°

=> x+1 = 180/12

=> x +1 = 15

=> x = 15-1

=> x = 14