Question

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

A) 3
B) 5
C) 7
D) 9

What is the measure of ∠A?
A) 157°
B) 159°
C) 161°
D) 163° ​

Answer 1

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

x + 16 = 4x - 5

16 + 5 = 4x - x

21 = 3x

3x = 21

x = 21/3

x = 7

Answer 2

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

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