Question

The interior angles of a triangle have measures 102°, 16°, and m°.

What is the value of m?



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Answer 1

◆ TRIANGLES ◆


Let there be triangle ∆ABC ,

With ,


`angle \: A \: = m \: degree \: \\ \\ angle \: B \: = 102 \: degree \\ \\ angle \: C \: = 16 \: degree \\ \\ \\ A + B + C = 180 \: \\ (angle \: sum \: property \: of \: triangle) \\ \\ m + 102 + 16 = 180 \\ \\ m + 118 = 180 \\ \\ m = 180 - 118 = 62 \: \\ \\ m = 62 \: degrees \: \: \: \: \: ans.`