Question

A. Write an equation that represents the sum of the angle measures of the triangle. The equation is __=180.

b. Use your equation and the equation shown to find the values of x and y.

Answer 1

The sum of the internal angles of a triangle adds up to 180°. Hence, the sum can be expressed thus ; (A + B + C) = 180°

The sum of the internal angles of a triangle can be obtained using the relation :

• A + B + C = 180°

Given that :

• y = 2x

30 + x + y = 180

30 + x + 2x = 180

30 + 3x = 180

3x = 180 - 30

3x = 150

x = 150/3

x = 50°

y = 2x = 2(50) = 100°

Therefore, the values of X and y are 50° and 100° respectively.

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