Answer:
The correct answer is option D. 85°
Step-by-step explanation:
Here we consider two angles be <1, <2 and < 3, where <1 is the linear pair of angle measures 133° and <2 be the linear pair of angle measures 142°
<u>To find the value of m<1
</u>
m<1 = 180 - 133 = 47°
<u>To find the value of m<2
</u>
m<2 = 180 - 142 = 38°
<u>To find the value of m<3
</u>
By using angle sum property,
m<1 + m<2 + m< 3 = 180
m<3 =180 - (m<1 + m<2)
= 180 - (47 + 38))
= 180 - 85
= 95°
<u>To find the value of n</u>
Here n and <3 are linear pair,
n + m<3 = 180
n = 180 - m<3
= 180 - 95 = 85°
Therefore the value of n = 85°
The correct answer is option D. 85°
