Question

Use the properties of vertical angles to find the value of x.

Answer 1

Answer:

The value of x= 7 and that of Angle A= 157°

Step-by-step explanation:

(x+16)° = (4x-5)° [Vertically opposite angles]

3x= 21

x= 7

Now, A + (4x-5)° = 180° [Linear pair]

A + [4(7)-5] = 180°

A + 23 = 180°

A = 180° - 23

A = 157°

Hope it helps you

Answer 2

(x + 16) = (4x - 5)

x + 16 = 4x - 5

16 + 5 = 4x - x

21 = 3x

3x = 21

x = 21/3

x = 7