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Show work please and thank you.

Show work please and thank you.-example-1
User Praveen
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1 Answer

4 votes

Explanation:

2 things to remember :

the sum of all angles in a triangle is ashtrays 180°.

the sum of all angles around a point on one side of a line is also always 180° (because that represents a half-circle).

let's call the 3rd angle in the triangle "innerQ".

so,

180 = (4x + 13) + 19 + innerQ

180 = (7x + 2) + innerQ

as innerQ is also the supplementary angle of 7x + 2.

because of that, we can now say

(4x + 13) + 19 + innerQ = (7x + 2) + innerQ

4x + 13 + 19 = 7x + 2

4x + 32 = 7x + 2

30 = 3x

x = 10

so, the angle S = 4×10 + 13 = 40 + 13 = 53°

User Heinrich Hartmann
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