Answer:
The value of x = 96°
Explanation:
Here we consider two angles be <1, <2 and < 3, where <1 is the linear pair of angle measures 130° and <2 be the linear pair of angle measures 134°
To find the value of m<1
m<1 = 180 - 130 = 50°
To find the value of m<2
m<2 = 180 - 134 = 46°
To find the value of m<3
By using angle sum property,
m<1 + m<2 + m< 3 = 180
m<3 =180 - (m<1 + m<2)
= 180 - (50 + 46 = 96
= 84°
To find the value of x
Here x and <3 are linear pair,
x + m<3 = 180
x = 180 - m<3
= 180 - 84 = 96°
Therefore the value of x = 96°