Question

In a triangle abc the angle a = x and angle b = 5y and angle c = 3y, the line extended from b to d and the angle cbd =7y

Answer 1

Answer:

x is 60

y is 15

Step-by-step explanation:

BY ANGLE SUM PROPERTY AND EXTERIOR ANGLE PROPERTY WE CAN KNOW THE VALUES OF x and y

Answer 2

Step-by-step explanation:

Angle ABC + Angle CBD = 180°

( Linear Pair )

5y + 7y = 180°

12y = 180°

y = 180/12

y = 15

5y = 5 * 15

5y = 75°

3y = 3 * 15

3y = 45°

x + 3y + 5y = 180°

( Angle Sum Property )

x + 45° + 75° = 180°

x + 120° = 180°

x = 180 - 120

x = 60°

To Check :

60° + 45° + 75° = 180°