Question

Plz Help!

This triangle has one side that lies on an extended line segment.

Based on this triangle, what statement about x is true?

x= 33 because 180 – 147 = 33


x = 62 because 147 – 85 = 62 and 85 + 62 = 147


x = 95 because 180 – 85 = 95 and 85 + 95 = 180


x = 118 because

180 147 + 85

33 + 85

=118

Answer 1

B. x = 62 because 147 – 85 = 62 and 85 + 62 = 147

Explanation:

We are given that

`\angle ABC=85^(\circ)`

Exterior angle=
`147^(\circ)`

We have to find the value of x.

We know that

Exterior angle=Sum of opposite interior angles of triangle

Using the property

`x+85=147`

Subtract 85 from both sides we get

`x=147-85`

`x=62`

Option B is true.

B. x = 62 because 147 – 85 = 62 and 85 + 62 = 147