What is the measure of? Four-sided figure divided into four triangles. Triangle on top has angles labeled two, forty-one degrees, and one hundred twelve degrees. Triangle on right has angles labeled forty-four degrees, sixty-six degrees, and three. Triangle on the bottom has angles labeled twenty-nine degrees, four, and one hundred nine degrees. Triangle on the left has angles labeled forty-three degrees, one, and sixty-nine degrees.

Question

Mathematics

Victoria

10 January, 08:41

What is the measure of? Four-sided figure divided into four triangles. Triangle on top has angles labeled two, forty-one degrees, and one hundred twelve degrees. Triangle on right has angles labeled forty-four degrees, sixty-six degrees, and three. Triangle on the bottom has angles labeled twenty-nine degrees, four, and one hundred nine degrees. Triangle on the left has angles labeled forty-three degrees, one, and sixty-nine degrees.

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Answers (1)

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Melina Ramsey · Answer 1

There are 4 triangles, all in all.

The total interior angle is 180.

180 = 69 + 43 + (1)

(1) = 180 - 69 - 43

(1) = 68

180 = 112 + 41 + (2)

(2) = 180 - 112 - 41

(2) = 27

180 = 66 + 44 + (3)

(3) = 180 - 66 - 44

(3) = 70

180 = 109 + 29 - (4)

(4) = 180 - 109 - 29

(4) = 72