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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.

What is the measure of ? Four-sided figure divided into four triangles. Triangle on-example-1
User Taruxtin
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1 Answer

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The missing angles are the one with labels 1, 2, 3, 4.
180 = 43 + 69 + X
180 = 112 + X
X = 68 (1)

180 = 112 + 41 + Y
180 = 153 + Y
Y = 27 (2)

180 = 44 + 66 + Z
180 = 110 + Z
Z = 70 (3)

180 = 109 + 29 + Z
180 = 138 + Z
Z = 42 (4)
User Alenros
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