Question

An angle that measures 125° is composed of three smaller angles. Two of the smaller angles measure 25° and 40 degrees Tom thinks he can use the equation 25 degrees + (40 degrees - 25 degrees) = s to find the measure of the unknown smaller angle, s. Explain why Tom is incorrect and tell how to find the measure of the third smaller angles

Answer 1

The measure of the other angle is 60°.

What is an Angle ?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

As given in the question

An angle that measures 125° is composed of three smaller angles.

Two of the smaller angles measure 25° and 40 degrees

Tom thinks he can use the equation 25 degrees + (40 degrees - 25 degrees) = s to find the measure of the unknown smaller angle, s

Tom is incorrect because the sum of the smaller angles will be equal to the bigger angle and the equation he has written is wrong.

The right equation and method will be

25 +40+x = 125

x = 125-40-25

x = 60°

Therefore the measure of the other angle is 60°.

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