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Find the missing angle according to the Triangle Exterior Angle Theorem

Find the missing angle according to the Triangle Exterior Angle Theorem-example-1
User Ygoe
by
8.0k points

2 Answers

12 votes

Answer:

x = 105 degrees

Explanation:

First, figure out the interior angle, we can do this ading the two angles and then subtracting the sum from 180 (since the interior angle of a triangle adds up to 180 degrees)

180 - (55 + 50) = 75

next, we can figure out x by taking the sum (75) and subtracting that from 180 since it is a supplementary angle:

180 - 75 = 105

x = 105

User Fujifish
by
8.2k points
7 votes

Answer:

105 degrees!

Explanation:

all the angles in a triangle must add to 180.

50+55= 105

therefore, the missing angle would be 75

x+75 must also add to 180 so the answer would be: 105 because 75+105= 180

Hope this helps!!

User Reece Kenney
by
8.1k points

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