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Find the value of X NEED HELP YRGENTLY

Find the value of X NEED HELP YRGENTLY-example-1
User Jay Koutavas
by
3.0k points

1 Answer

10 votes
10 votes

Answer:

x = 11°

Explanation:

You want to know the value of x given a triangle with exterior angles 147°, 4x, and an interior angle of x at the third vertex.

Setup

The exterior angle of the triangle at B is the supplement of x: 180°-x. The sum of the exterior angles of a polygon is 360°, so we have ...

147° +4x +180° -x = 360°

Solution

Collecting terms, we have ...

327° +3x = 360°

3x = 33° . . . . . . . . . subtract 327°

x = 11° . . . . . . . . . . divide by x

User Artyom Degtyarev
by
2.8k points
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