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Construct Triangle When Its Base, Difference of the Other Two Sides and One Base Angle Are Given

In a triangle...

Question

In a triangle ABC, if ∠A = 55° and ∠B = 40°, find ∠C.

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Solution

Given: ∠A = 55° and ∠B = 40°

To Find: ∠C

Solution:

In ΔABC, ∠A + ∠B + ∠C = 180° (Sum of the angles of a triangle)

55° + 40° + ∠C = 180°

∠C = 180° − 95°

∴∠C = 85°

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