Question

Triangle △ABC is reflected across line n to create △ A'B'C', What is the measure of ∠C?

Answer 1

The measure of ∠C is 54°.

To solve the problem :

let us assume that line n is a mirror.

∴ ∠A = ∠A' = 59°

∠B = ∠B' = 67°

∠C = ∠C'

According to property of triangles :

Sum of all angles of a triangle is 180°.

∴ A + B + C = 180°

59 + 67 + C = 180

C = $180 - (59 +67)$

C = 54°

∴ The measure of ∠C is 54°.

To know more about triangles refer to :

https://brainly.com/question/1620555

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